Princess Rasha has a valuable necklace which is made of 23 pearls, of which the one in the middle is the biggest and most expensive. The price of each of the 11 pearls to the left to the biggest one increases 100 dollars respectively in the direction of the biggest one. The price of each of the 11 pearls to the right to the biggest one increases 150 dollars respectively in the direction of the biggest one. How much is the biggest pearl?
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