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Finding the Fourth Proportional to 16,996.18, 25,497.96 and 5,149

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Solution

The fourth proportional to 16,996.18, 25,497.96 and 5,149 is: 7,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,996.18 : 25,497.96 = 5,149 : x
  2. Step 2: Convert to fraction form
    16,996.18/25,497.96 = 5,149/x
  3. Step 3: Cross multiply
    16,996.18x = 25,497.96 × 5,149
  4. Step 4: Simplify right side
    16,996.18x = 131,288,996.04
  5. Step 5: Solve for x
    x = 131,288,996.04/16,996.18
  6. Step 6: Final answer
    x = 7,724.62

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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.