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Finding the Fourth Proportional to 12,147.62, 16,761.49 and 6,841.30

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Solution

The fourth proportional to 12,147.62, 16,761.49 and 6,841.30 is: 9,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.62 : 16,761.49 = 6,841.30 : x
  2. Step 2: Convert to fraction form
    12,147.62/16,761.49 = 6,841.30/x
  3. Step 3: Cross multiply
    12,147.62x = 16,761.49 × 6,841.30
  4. Step 4: Simplify right side
    12,147.62x = 114,670,381.54
  5. Step 5: Solve for x
    x = 114,670,381.54/12,147.62
  6. Step 6: Final answer
    x = 9,439.74

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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.