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Finding the Fourth Proportional to 16,255.20, 24,382.80 and 16,082.40

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Solution

The fourth proportional to 16,255.20, 24,382.80 and 16,082.40 is: 24,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.20 : 24,382.80 = 16,082.40 : x
  2. Step 2: Convert to fraction form
    16,255.20/24,382.80 = 16,082.40/x
  3. Step 3: Cross multiply
    16,255.20x = 24,382.80 × 16,082.40
  4. Step 4: Simplify right side
    16,255.20x = 392,133,942.72
  5. Step 5: Solve for x
    x = 392,133,942.72/16,255.20
  6. Step 6: Final answer
    x = 24,123.60

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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.