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Finding the Fourth Proportional to 16,234.43, 24,353.26 and 5,843.75

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Solution

The fourth proportional to 16,234.43, 24,353.26 and 5,843.75 is: 8,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.43 : 24,353.26 = 5,843.75 : x
  2. Step 2: Convert to fraction form
    16,234.43/24,353.26 = 5,843.75/x
  3. Step 3: Cross multiply
    16,234.43x = 24,353.26 × 5,843.75
  4. Step 4: Simplify right side
    16,234.43x = 142,314,226.75
  5. Step 5: Solve for x
    x = 142,314,226.75/16,234.43
  6. Step 6: Final answer
    x = 8,766.20

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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.