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Finding the Fourth Proportional to 12,451.74, 17,179.20 and 8,466

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Solution

The fourth proportional to 12,451.74, 17,179.20 and 8,466 is: 11,680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.74 : 17,179.20 = 8,466 : x
  2. Step 2: Convert to fraction form
    12,451.74/17,179.20 = 8,466/x
  3. Step 3: Cross multiply
    12,451.74x = 17,179.20 × 8,466
  4. Step 4: Simplify right side
    12,451.74x = 145,439,107.20
  5. Step 5: Solve for x
    x = 145,439,107.20/12,451.74
  6. Step 6: Final answer
    x = 11,680.22

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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.