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Finding the Fourth Proportional to 16,177.17, 24,268.21 and 5,082.82

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Solution

The fourth proportional to 16,177.17, 24,268.21 and 5,082.82 is: 7,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.17 : 24,268.21 = 5,082.82 : x
  2. Step 2: Convert to fraction form
    16,177.17/24,268.21 = 5,082.82/x
  3. Step 3: Cross multiply
    16,177.17x = 24,268.21 × 5,082.82
  4. Step 4: Simplify right side
    16,177.17x = 123,350,869.77
  5. Step 5: Solve for x
    x = 123,350,869.77/16,177.17
  6. Step 6: Final answer
    x = 7,625.00

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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.