The Clark family began savings for their child's college $17$ years ago. Each year they contributed $$6700$ per year at the end of each year. In year $6,$ Clarks were able to contribute an extra $$2000$ in addition to the usual $$6700$ contribution. Using an interest rate of $5\mathrm{.}20\%,$ how much do they have accumulated in their child's college fund?

$

INSTRUCTIONS: Place your answer in dollars and cents without using a dollar sign or a comma. For example, if your answer is one hundred thousand five hundred and seventy then place your answer as $100570.$ Work all analysis using at least four decimal places of accuracy.