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Finding the Fourth Proportional to 17,487.24, 24,131.52 and 9,529

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Solution

The fourth proportional to 17,487.24, 24,131.52 and 9,529 is: 13,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,487.24 : 24,131.52 = 9,529 : x
  2. Step 2: Convert to fraction form
    17,487.24/24,131.52 = 9,529/x
  3. Step 3: Cross multiply
    17,487.24x = 24,131.52 × 9,529
  4. Step 4: Simplify right side
    17,487.24x = 229,949,254.08
  5. Step 5: Solve for x
    x = 229,949,254.08/17,487.24
  6. Step 6: Final answer
    x = 13,149.55

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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.