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Finding the Fourth Proportional to 16,414.75, 24,626.02 and 5,321.44

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Solution

The fourth proportional to 16,414.75, 24,626.02 and 5,321.44 is: 7,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.75 : 24,626.02 = 5,321.44 : x
  2. Step 2: Convert to fraction form
    16,414.75/24,626.02 = 5,321.44/x
  3. Step 3: Cross multiply
    16,414.75x = 24,626.02 × 5,321.44
  4. Step 4: Simplify right side
    16,414.75x = 131,045,861.26
  5. Step 5: Solve for x
    x = 131,045,861.26/16,414.75
  6. Step 6: Final answer
    x = 7,983.42

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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.