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Finding the Fourth Proportional to 12,447.11, 17,176.80 and 6,781.91

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Solution

The fourth proportional to 12,447.11, 17,176.80 and 6,781.91 is: 9,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.11 : 17,176.80 = 6,781.91 : x
  2. Step 2: Convert to fraction form
    12,447.11/17,176.80 = 6,781.91/x
  3. Step 3: Cross multiply
    12,447.11x = 17,176.80 × 6,781.91
  4. Step 4: Simplify right side
    12,447.11x = 116,491,452.86
  5. Step 5: Solve for x
    x = 116,491,452.86/12,447.11
  6. Step 6: Final answer
    x = 9,358.91

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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.