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Finding the Fourth Proportional to 12,454.24, 17,180.28 and 7,414.88

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Solution

The fourth proportional to 12,454.24, 17,180.28 and 7,414.88 is: 10,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.24 : 17,180.28 = 7,414.88 : x
  2. Step 2: Convert to fraction form
    12,454.24/17,180.28 = 7,414.88/x
  3. Step 3: Cross multiply
    12,454.24x = 17,180.28 × 7,414.88
  4. Step 4: Simplify right side
    12,454.24x = 127,389,714.57
  5. Step 5: Solve for x
    x = 127,389,714.57/12,454.24
  6. Step 6: Final answer
    x = 10,228.62

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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.