According to Sotheby`s, proceeds from the sale "will benefit Madonna`s Ray of Light Foundation, supporting girls` education projects in the Middle East and South Asia".
"Thanks to everyone who helped make it happen!" said the pop star onFacebook.
Before Tuesday`s sale, Madonna said she wanted "to trade something valuable for something invaluable - educating girls".
The sale formed part of a Sotheby`s sale of Impressionist and modern art that took more than $230m (£148.6m).
Les Pommes, a still life by French artist Paul Cezanne, fetched the highest price, selling for $41.6m (£26.9m).
L`Amazone, a portrait of French socialite Baroness Marguerite de Hasse de Villers by Amedeo Modigliani, went for $25.9m (£16.7m).
A Pablo Picasso sculpture of his young muse Sylvette, meanwhile, sold for $13.6m (£8.8m).
Overall the auction failed to live up to last year`s event, which saw a version of Edvard Munch`s The Scream sell for a world record $119.9m (£77.4m).
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