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Finding the Fourth Proportional to 13,609.96, 18,781.14 and 7,641.52

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Solution

The fourth proportional to 13,609.96, 18,781.14 and 7,641.52 is: 10,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.96 : 18,781.14 = 7,641.52 : x
  2. Step 2: Convert to fraction form
    13,609.96/18,781.14 = 7,641.52/x
  3. Step 3: Cross multiply
    13,609.96x = 18,781.14 × 7,641.52
  4. Step 4: Simplify right side
    13,609.96x = 143,516,456.93
  5. Step 5: Solve for x
    x = 143,516,456.93/13,609.96
  6. Step 6: Final answer
    x = 10,544.96

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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.