This story is unavailable.

The author of the blog post in Forbes himself says that “15.6% report using Medicaid”, the rest is paid privately or by private insurance coverage.
“Everyone knows that Medicaid is taxpayer-funded, so the foregoing would appear to answer my question.” So everything is clear, Medicaid (the government) pays for the undesired consequences of peoples’ “recreational activities”. Right?

Nope, only if you limit your sources to those which apparently confirm your prejudices. What about confronting this to public data? E.g.
“ Women in their twenties accounted for the majority of abortions in 2013 and throughout the period of analysis. The majority of abortions in 2013 took place early in gestation: 91.6% of abortions were performed at ≤13 weeks’ gestation; a smaller number of abortions (7.1%) were performed at 14–20 weeks’ gestation, and even fewer (1.3%) were performed at ≥21 weeks’ gestation. In 2013, 22.2% of all abortions were early medical abortions. The percentage of abortions reported as early medical abortions increased 5% from 2012 to 2013.” 
So 22.2% of all abortions were early medical abortions while medicaid paid only 15.6%. Looks like Medicaid did not even pay for all medically necessary abortions.

I take it that you would like to exclude medically necessary interventions from Medicaid. 
No problem for those who are not on Medicaid.

I think you could do better and as a woman you should know better.