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Finding the Fourth Proportional to 15,732.89, 23,593.71 and 5,200.97

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Solution

The fourth proportional to 15,732.89, 23,593.71 and 5,200.97 is: 7,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.89 : 23,593.71 = 5,200.97 : x
  2. Step 2: Convert to fraction form
    15,732.89/23,593.71 = 5,200.97/x
  3. Step 3: Cross multiply
    15,732.89x = 23,593.71 × 5,200.97
  4. Step 4: Simplify right side
    15,732.89x = 122,710,177.90
  5. Step 5: Solve for x
    x = 122,710,177.90/15,732.89
  6. Step 6: Final answer
    x = 7,799.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.