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Finding the Fourth Proportional to 13,781.24, 20,688.66 and 9,105.24

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Solution

The fourth proportional to 13,781.24, 20,688.66 and 9,105.24 is: 13,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.24 : 20,688.66 = 9,105.24 : x
  2. Step 2: Convert to fraction form
    13,781.24/20,688.66 = 9,105.24/x
  3. Step 3: Cross multiply
    13,781.24x = 20,688.66 × 9,105.24
  4. Step 4: Simplify right side
    13,781.24x = 188,375,214.58
  5. Step 5: Solve for x
    x = 188,375,214.58/13,781.24
  6. Step 6: Final answer
    x = 13,668.96

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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.