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Finding the Fourth Proportional to 16,082.40, 24,122.08 and 5,693.60

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Solution

The fourth proportional to 16,082.40, 24,122.08 and 5,693.60 is: 8,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.40 : 24,122.08 = 5,693.60 : x
  2. Step 2: Convert to fraction form
    16,082.40/24,122.08 = 5,693.60/x
  3. Step 3: Cross multiply
    16,082.40x = 24,122.08 × 5,693.60
  4. Step 4: Simplify right side
    16,082.40x = 137,341,474.69
  5. Step 5: Solve for x
    x = 137,341,474.69/16,082.40
  6. Step 6: Final answer
    x = 8,539.86

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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.