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Finding the Fourth Proportional to 20,781.42, 31,154.31 and 7,627.02

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Solution

The fourth proportional to 20,781.42, 31,154.31 and 7,627.02 is: 11,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.42 : 31,154.31 = 7,627.02 : x
  2. Step 2: Convert to fraction form
    20,781.42/31,154.31 = 7,627.02/x
  3. Step 3: Cross multiply
    20,781.42x = 31,154.31 × 7,627.02
  4. Step 4: Simplify right side
    20,781.42x = 237,614,545.46
  5. Step 5: Solve for x
    x = 237,614,545.46/20,781.42
  6. Step 6: Final answer
    x = 11,433.99

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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.