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Finding the Fourth Proportional to 16,517.67, 22,793.85 and 9,249.77

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Solution

The fourth proportional to 16,517.67, 22,793.85 and 9,249.77 is: 12,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.67 : 22,793.85 = 9,249.77 : x
  2. Step 2: Convert to fraction form
    16,517.67/22,793.85 = 9,249.77/x
  3. Step 3: Cross multiply
    16,517.67x = 22,793.85 × 9,249.77
  4. Step 4: Simplify right side
    16,517.67x = 210,837,926.90
  5. Step 5: Solve for x
    x = 210,837,926.90/16,517.67
  6. Step 6: Final answer
    x = 12,764.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.