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Finding the Fourth Proportional to 15,646.92, 23,414.46 and 13,591.14

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Solution

The fourth proportional to 15,646.92, 23,414.46 and 13,591.14 is: 20,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.92 : 23,414.46 = 13,591.14 : x
  2. Step 2: Convert to fraction form
    15,646.92/23,414.46 = 13,591.14/x
  3. Step 3: Cross multiply
    15,646.92x = 23,414.46 × 13,591.14
  4. Step 4: Simplify right side
    15,646.92x = 318,229,203.88
  5. Step 5: Solve for x
    x = 318,229,203.88/15,646.92
  6. Step 6: Final answer
    x = 20,338.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.