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Finding the Fourth Proportional to 20,104.78, 30,134.49 and 9,704.38

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Solution

The fourth proportional to 20,104.78, 30,134.49 and 9,704.38 is: 14,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104.78 : 30,134.49 = 9,704.38 : x
  2. Step 2: Convert to fraction form
    20,104.78/30,134.49 = 9,704.38/x
  3. Step 3: Cross multiply
    20,104.78x = 30,134.49 × 9,704.38
  4. Step 4: Simplify right side
    20,104.78x = 292,436,542.07
  5. Step 5: Solve for x
    x = 292,436,542.07/20,104.78
  6. Step 6: Final answer
    x = 14,545.62

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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.