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Finding the Fourth Proportional to 16,189.92, 24,269.67 and 5,653.44

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Solution

The fourth proportional to 16,189.92, 24,269.67 and 5,653.44 is: 8,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.92 : 24,269.67 = 5,653.44 : x
  2. Step 2: Convert to fraction form
    16,189.92/24,269.67 = 5,653.44/x
  3. Step 3: Cross multiply
    16,189.92x = 24,269.67 × 5,653.44
  4. Step 4: Simplify right side
    16,189.92x = 137,207,123.16
  5. Step 5: Solve for x
    x = 137,207,123.16/16,189.92
  6. Step 6: Final answer
    x = 8,474.85

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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.