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Finding the Fourth Proportional to 16,082.80, 24,125.40 and 5,693.20

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Solution

The fourth proportional to 16,082.80, 24,125.40 and 5,693.20 is: 8,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.80 : 24,125.40 = 5,693.20 : x
  2. Step 2: Convert to fraction form
    16,082.80/24,125.40 = 5,693.20/x
  3. Step 3: Cross multiply
    16,082.80x = 24,125.40 × 5,693.20
  4. Step 4: Simplify right side
    16,082.80x = 137,350,727.28
  5. Step 5: Solve for x
    x = 137,350,727.28/16,082.80
  6. Step 6: Final answer
    x = 8,540.22

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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.