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Finding the Fourth Proportional to 20,781.54, 31,156 and 9,686.76

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Solution

The fourth proportional to 20,781.54, 31,156 and 9,686.76 is: 14,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.54 : 31,156 = 9,686.76 : x
  2. Step 2: Convert to fraction form
    20,781.54/31,156 = 9,686.76/x
  3. Step 3: Cross multiply
    20,781.54x = 31,156 × 9,686.76
  4. Step 4: Simplify right side
    20,781.54x = 301,800,694.56
  5. Step 5: Solve for x
    x = 301,800,694.56/20,781.54
  6. Step 6: Final answer
    x = 14,522.54

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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.