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Finding the Fourth Proportional to 20,616.78, 30,881.40 and 13,957.38

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Solution

The fourth proportional to 20,616.78, 30,881.40 and 13,957.38 is: 20,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,616.78 : 30,881.40 = 13,957.38 : x
  2. Step 2: Convert to fraction form
    20,616.78/30,881.40 = 13,957.38/x
  3. Step 3: Cross multiply
    20,616.78x = 30,881.40 × 13,957.38
  4. Step 4: Simplify right side
    20,616.78x = 431,023,434.73
  5. Step 5: Solve for x
    x = 431,023,434.73/20,616.78
  6. Step 6: Final answer
    x = 20,906.44

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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.