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Finding the Fourth Proportional to 16,082.71, 24,123.31 and 4,395.96

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Solution

The fourth proportional to 16,082.71, 24,123.31 and 4,395.96 is: 6,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.71 : 24,123.31 = 4,395.96 : x
  2. Step 2: Convert to fraction form
    16,082.71/24,123.31 = 4,395.96/x
  3. Step 3: Cross multiply
    16,082.71x = 24,123.31 × 4,395.96
  4. Step 4: Simplify right side
    16,082.71x = 106,045,094.84
  5. Step 5: Solve for x
    x = 106,045,094.84/16,082.71
  6. Step 6: Final answer
    x = 6,593.73

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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.