Anna went to the grocery store and bought various fruits. She spent $12.673 on apples, $8.456 on bananas, and $3.891 on oranges. She also bought a pack of strawberries weighing 0.75 pounds. If the price per pound of strawberries is $5.20, what is the total cost of all the fruits she bought? Round your final answer to the nearest hundredth. Let's think step by step and output the final answer within \boxed{}.
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