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Finding the Fourth Proportional to 16,489.67, 24,737.52 and 5,396.97

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Solution

The fourth proportional to 16,489.67, 24,737.52 and 5,396.97 is: 8,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.67 : 24,737.52 = 5,396.97 : x
  2. Step 2: Convert to fraction form
    16,489.67/24,737.52 = 5,396.97/x
  3. Step 3: Cross multiply
    16,489.67x = 24,737.52 × 5,396.97
  4. Step 4: Simplify right side
    16,489.67x = 133,507,653.31
  5. Step 5: Solve for x
    x = 133,507,653.31/16,489.67
  6. Step 6: Final answer
    x = 8,096.44

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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.