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Finding the Fourth Proportional to 17,152.43, 23,662.84 and 10,075.66

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Solution

The fourth proportional to 17,152.43, 23,662.84 and 10,075.66 is: 13,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,152.43 : 23,662.84 = 10,075.66 : x
  2. Step 2: Convert to fraction form
    17,152.43/23,662.84 = 10,075.66/x
  3. Step 3: Cross multiply
    17,152.43x = 23,662.84 × 10,075.66
  4. Step 4: Simplify right side
    17,152.43x = 238,418,730.47
  5. Step 5: Solve for x
    x = 238,418,730.47/17,152.43
  6. Step 6: Final answer
    x = 13,900.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.