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Finding the Fourth Proportional to 22,249.57, 33,385.86 and 9,778.34

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Solution

The fourth proportional to 22,249.57, 33,385.86 and 9,778.34 is: 14,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,249.57 : 33,385.86 = 9,778.34 : x
  2. Step 2: Convert to fraction form
    22,249.57/33,385.86 = 9,778.34/x
  3. Step 3: Cross multiply
    22,249.57x = 33,385.86 × 9,778.34
  4. Step 4: Simplify right side
    22,249.57x = 326,458,160.01
  5. Step 5: Solve for x
    x = 326,458,160.01/22,249.57
  6. Step 6: Final answer
    x = 14,672.56

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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.