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Finding the Fourth Proportional to 16,082.64, 24,123.78 and 5,691.96

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Solution

The fourth proportional to 16,082.64, 24,123.78 and 5,691.96 is: 8,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.64 : 24,123.78 = 5,691.96 : x
  2. Step 2: Convert to fraction form
    16,082.64/24,123.78 = 5,691.96/x
  3. Step 3: Cross multiply
    16,082.64x = 24,123.78 × 5,691.96
  4. Step 4: Simplify right side
    16,082.64x = 137,311,590.81
  5. Step 5: Solve for x
    x = 137,311,590.81/16,082.64
  6. Step 6: Final answer
    x = 8,537.88

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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.