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Finding the Fourth Proportional to 13,609.89, 18,781.17 and 7,641.81

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Solution

The fourth proportional to 13,609.89, 18,781.17 and 7,641.81 is: 10,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.89 : 18,781.17 = 7,641.81 : x
  2. Step 2: Convert to fraction form
    13,609.89/18,781.17 = 7,641.81/x
  3. Step 3: Cross multiply
    13,609.89x = 18,781.17 × 7,641.81
  4. Step 4: Simplify right side
    13,609.89x = 143,522,132.72
  5. Step 5: Solve for x
    x = 143,522,132.72/13,609.89
  6. Step 6: Final answer
    x = 10,545.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.