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Finding the Fourth Proportional to 12,414.52, 17,115.27 and 8,428.72

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Solution

The fourth proportional to 12,414.52, 17,115.27 and 8,428.72 is: 11,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.52 : 17,115.27 = 8,428.72 : x
  2. Step 2: Convert to fraction form
    12,414.52/17,115.27 = 8,428.72/x
  3. Step 3: Cross multiply
    12,414.52x = 17,115.27 × 8,428.72
  4. Step 4: Simplify right side
    12,414.52x = 144,259,799.23
  5. Step 5: Solve for x
    x = 144,259,799.23/12,414.52
  6. Step 6: Final answer
    x = 11,620.24

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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.