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Finding the Fourth Proportional to 16,838.20, 25,231.50 and 8,494.96

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Solution

The fourth proportional to 16,838.20, 25,231.50 and 8,494.96 is: 12,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.20 : 25,231.50 = 8,494.96 : x
  2. Step 2: Convert to fraction form
    16,838.20/25,231.50 = 8,494.96/x
  3. Step 3: Cross multiply
    16,838.20x = 25,231.50 × 8,494.96
  4. Step 4: Simplify right side
    16,838.20x = 214,340,583.24
  5. Step 5: Solve for x
    x = 214,340,583.24/16,838.20
  6. Step 6: Final answer
    x = 12,729.42

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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.