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Finding the Fourth Proportional to 19,781.92, 29,680.68 and 8,680.88

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Solution

The fourth proportional to 19,781.92, 29,680.68 and 8,680.88 is: 13,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.92 : 29,680.68 = 8,680.88 : x
  2. Step 2: Convert to fraction form
    19,781.92/29,680.68 = 8,680.88/x
  3. Step 3: Cross multiply
    19,781.92x = 29,680.68 × 8,680.88
  4. Step 4: Simplify right side
    19,781.92x = 257,654,421.40
  5. Step 5: Solve for x
    x = 257,654,421.40/19,781.92
  6. Step 6: Final answer
    x = 13,024.74

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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.