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Finding the Fourth Proportional to 20,972.68, 31,458.80 and 8,489.32

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Solution

The fourth proportional to 20,972.68, 31,458.80 and 8,489.32 is: 12,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.68 : 31,458.80 = 8,489.32 : x
  2. Step 2: Convert to fraction form
    20,972.68/31,458.80 = 8,489.32/x
  3. Step 3: Cross multiply
    20,972.68x = 31,458.80 × 8,489.32
  4. Step 4: Simplify right side
    20,972.68x = 267,063,820.02
  5. Step 5: Solve for x
    x = 267,063,820.02/20,972.68
  6. Step 6: Final answer
    x = 12,733.89

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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.