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Finding the Fourth Proportional to 16,771.92, 25,161.60 and 5,677.68

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Solution

The fourth proportional to 16,771.92, 25,161.60 and 5,677.68 is: 8,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,771.92 : 25,161.60 = 5,677.68 : x
  2. Step 2: Convert to fraction form
    16,771.92/25,161.60 = 5,677.68/x
  3. Step 3: Cross multiply
    16,771.92x = 25,161.60 × 5,677.68
  4. Step 4: Simplify right side
    16,771.92x = 142,859,513.09
  5. Step 5: Solve for x
    x = 142,859,513.09/16,771.92
  6. Step 6: Final answer
    x = 8,517.78

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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.