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Finding the Fourth Proportional to 12,414.69, 17,137.80 and 7,380.54

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Solution

The fourth proportional to 12,414.69, 17,137.80 and 7,380.54 is: 10,188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.69 : 17,137.80 = 7,380.54 : x
  2. Step 2: Convert to fraction form
    12,414.69/17,137.80 = 7,380.54/x
  3. Step 3: Cross multiply
    12,414.69x = 17,137.80 × 7,380.54
  4. Step 4: Simplify right side
    12,414.69x = 126,486,218.41
  5. Step 5: Solve for x
    x = 126,486,218.41/12,414.69
  6. Step 6: Final answer
    x = 10,188.43

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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.