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Finding the Fourth Proportional to 12,375.68, 18,549.56 and 6,140.15

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Solution

The fourth proportional to 12,375.68, 18,549.56 and 6,140.15 is: 9,203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375.68 : 18,549.56 = 6,140.15 : x
  2. Step 2: Convert to fraction form
    12,375.68/18,549.56 = 6,140.15/x
  3. Step 3: Cross multiply
    12,375.68x = 18,549.56 × 6,140.15
  4. Step 4: Simplify right side
    12,375.68x = 113,897,142.56
  5. Step 5: Solve for x
    x = 113,897,142.56/12,375.68
  6. Step 6: Final answer
    x = 9,203.31

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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.