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Finding the Fourth Proportional to 12,167.25, 18,251.57 and 3,402.15

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Solution

The fourth proportional to 12,167.25, 18,251.57 and 3,402.15 is: 5,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.25 : 18,251.57 = 3,402.15 : x
  2. Step 2: Convert to fraction form
    12,167.25/18,251.57 = 3,402.15/x
  3. Step 3: Cross multiply
    12,167.25x = 18,251.57 × 3,402.15
  4. Step 4: Simplify right side
    12,167.25x = 62,094,578.88
  5. Step 5: Solve for x
    x = 62,094,578.88/12,167.25
  6. Step 6: Final answer
    x = 5,103.42

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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.