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Finding the Fourth Proportional to 20,732.68, 31,102.38 and 8,252.68

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Solution

The fourth proportional to 20,732.68, 31,102.38 and 8,252.68 is: 12,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.68 : 31,102.38 = 8,252.68 : x
  2. Step 2: Convert to fraction form
    20,732.68/31,102.38 = 8,252.68/x
  3. Step 3: Cross multiply
    20,732.68x = 31,102.38 × 8,252.68
  4. Step 4: Simplify right side
    20,732.68x = 256,677,989.38
  5. Step 5: Solve for x
    x = 256,677,989.38/20,732.68
  6. Step 6: Final answer
    x = 12,380.36

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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.