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Finding the Fourth Proportional to 20,545.76, 30,781.60 and 9,461.76

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Solution

The fourth proportional to 20,545.76, 30,781.60 and 9,461.76 is: 14,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,545.76 : 30,781.60 = 9,461.76 : x
  2. Step 2: Convert to fraction form
    20,545.76/30,781.60 = 9,461.76/x
  3. Step 3: Cross multiply
    20,545.76x = 30,781.60 × 9,461.76
  4. Step 4: Simplify right side
    20,545.76x = 291,248,111.62
  5. Step 5: Solve for x
    x = 291,248,111.62/20,545.76
  6. Step 6: Final answer
    x = 14,175.58

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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.