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Finding the Fourth Proportional to 19,966.52, 27,551.26 and 12,414.08

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Solution

The fourth proportional to 19,966.52, 27,551.26 and 12,414.08 is: 17,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,966.52 : 27,551.26 = 12,414.08 : x
  2. Step 2: Convert to fraction form
    19,966.52/27,551.26 = 12,414.08/x
  3. Step 3: Cross multiply
    19,966.52x = 27,551.26 × 12,414.08
  4. Step 4: Simplify right side
    19,966.52x = 342,023,545.74
  5. Step 5: Solve for x
    x = 342,023,545.74/19,966.52
  6. Step 6: Final answer
    x = 17,129.85

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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.