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Finding the Fourth Proportional to 20,897.68, 31,351.92 and 7,753.80

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Solution

The fourth proportional to 20,897.68, 31,351.92 and 7,753.80 is: 11,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.68 : 31,351.92 = 7,753.80 : x
  2. Step 2: Convert to fraction form
    20,897.68/31,351.92 = 7,753.80/x
  3. Step 3: Cross multiply
    20,897.68x = 31,351.92 × 7,753.80
  4. Step 4: Simplify right side
    20,897.68x = 243,096,517.30
  5. Step 5: Solve for x
    x = 243,096,517.30/20,897.68
  6. Step 6: Final answer
    x = 11,632.70

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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.