Suppose you currently have $$26,500$ to invest in your retirement account, and you hope to have $$4,500,000$ by the time you retire. If you can earn $12\%$ per year in your retirement account, how long will it take to reach your savings goal?

$41\mathrm{.}8$ years

$38\mathrm{.}5$ years

$32\mathrm{.}6$ years

$45\mathrm{.}3$ years