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Finding the Fourth Proportional to 20,992.92, 31,489.50 and 5,410.55

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Solution

The fourth proportional to 20,992.92, 31,489.50 and 5,410.55 is: 8,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.92 : 31,489.50 = 5,410.55 : x
  2. Step 2: Convert to fraction form
    20,992.92/31,489.50 = 5,410.55/x
  3. Step 3: Cross multiply
    20,992.92x = 31,489.50 × 5,410.55
  4. Step 4: Simplify right side
    20,992.92x = 170,375,398.07
  5. Step 5: Solve for x
    x = 170,375,398.07/20,992.92
  6. Step 6: Final answer
    x = 8,115.85

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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.