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Finding the Fourth Proportional to 12,680.68, 17,498.16 and 7,375.42

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Solution

The fourth proportional to 12,680.68, 17,498.16 and 7,375.42 is: 10,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.68 : 17,498.16 = 7,375.42 : x
  2. Step 2: Convert to fraction form
    12,680.68/17,498.16 = 7,375.42/x
  3. Step 3: Cross multiply
    12,680.68x = 17,498.16 × 7,375.42
  4. Step 4: Simplify right side
    12,680.68x = 129,056,279.23
  5. Step 5: Solve for x
    x = 129,056,279.23/12,680.68
  6. Step 6: Final answer
    x = 10,177.39

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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.