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Finding the Fourth Proportional to 15,487.24, 21,372.84 and 8,414.14

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Solution

The fourth proportional to 15,487.24, 21,372.84 and 8,414.14 is: 11,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,487.24 : 21,372.84 = 8,414.14 : x
  2. Step 2: Convert to fraction form
    15,487.24/21,372.84 = 8,414.14/x
  3. Step 3: Cross multiply
    15,487.24x = 21,372.84 × 8,414.14
  4. Step 4: Simplify right side
    15,487.24x = 179,834,067.96
  5. Step 5: Solve for x
    x = 179,834,067.96/15,487.24
  6. Step 6: Final answer
    x = 11,611.76

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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.