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Finding the Fourth Proportional to 13,691.27, 18,893.54 and 7,641.68

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Solution

The fourth proportional to 13,691.27, 18,893.54 and 7,641.68 is: 10,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.27 : 18,893.54 = 7,641.68 : x
  2. Step 2: Convert to fraction form
    13,691.27/18,893.54 = 7,641.68/x
  3. Step 3: Cross multiply
    13,691.27x = 18,893.54 × 7,641.68
  4. Step 4: Simplify right side
    13,691.27x = 144,378,453.09
  5. Step 5: Solve for x
    x = 144,378,453.09/13,691.27
  6. Step 6: Final answer
    x = 10,545.29

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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.