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Finding the Fourth Proportional to 13,344.50, 18,414.68 and 7,375.82

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Solution

The fourth proportional to 13,344.50, 18,414.68 and 7,375.82 is: 10,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344.50 : 18,414.68 = 7,375.82 : x
  2. Step 2: Convert to fraction form
    13,344.50/18,414.68 = 7,375.82/x
  3. Step 3: Cross multiply
    13,344.50x = 18,414.68 × 7,375.82
  4. Step 4: Simplify right side
    13,344.50x = 135,823,365.04
  5. Step 5: Solve for x
    x = 135,823,365.04/13,344.50
  6. Step 6: Final answer
    x = 10,178.23

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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.