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Finding the Fourth Proportional to 22,951.78, 34,427.66 and 8,161.28

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Solution

The fourth proportional to 22,951.78, 34,427.66 and 8,161.28 is: 12,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.78 : 34,427.66 = 8,161.28 : x
  2. Step 2: Convert to fraction form
    22,951.78/34,427.66 = 8,161.28/x
  3. Step 3: Cross multiply
    22,951.78x = 34,427.66 × 8,161.28
  4. Step 4: Simplify right side
    22,951.78x = 280,973,879.48
  5. Step 5: Solve for x
    x = 280,973,879.48/22,951.78
  6. Step 6: Final answer
    x = 12,241.92

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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.