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Finding the Fourth Proportional to 12,167.14, 18,248.61 and 3,399.97

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Solution

The fourth proportional to 12,167.14, 18,248.61 and 3,399.97 is: 5,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.14 : 18,248.61 = 3,399.97 : x
  2. Step 2: Convert to fraction form
    12,167.14/18,248.61 = 3,399.97/x
  3. Step 3: Cross multiply
    12,167.14x = 18,248.61 × 3,399.97
  4. Step 4: Simplify right side
    12,167.14x = 62,044,726.54
  5. Step 5: Solve for x
    x = 62,044,726.54/12,167.14
  6. Step 6: Final answer
    x = 5,099.37

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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.