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Finding the Fourth Proportional to 17,731.32, 24,469.09 and 9,773.55

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Solution

The fourth proportional to 17,731.32, 24,469.09 and 9,773.55 is: 13,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731.32 : 24,469.09 = 9,773.55 : x
  2. Step 2: Convert to fraction form
    17,731.32/24,469.09 = 9,773.55/x
  3. Step 3: Cross multiply
    17,731.32x = 24,469.09 × 9,773.55
  4. Step 4: Simplify right side
    17,731.32x = 239,149,874.57
  5. Step 5: Solve for x
    x = 239,149,874.57/17,731.32
  6. Step 6: Final answer
    x = 13,487.43

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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.