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Finding the Fourth Proportional to 16,082.52, 24,120.10 and 5,694.28

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Solution

The fourth proportional to 16,082.52, 24,120.10 and 5,694.28 is: 8,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.52 : 24,120.10 = 5,694.28 : x
  2. Step 2: Convert to fraction form
    16,082.52/24,120.10 = 5,694.28/x
  3. Step 3: Cross multiply
    16,082.52x = 24,120.10 × 5,694.28
  4. Step 4: Simplify right side
    16,082.52x = 137,346,603.03
  5. Step 5: Solve for x
    x = 137,346,603.03/16,082.52
  6. Step 6: Final answer
    x = 8,540.12

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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.