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Finding the Fourth Proportional to 22,474.40, 33,702.84 and 8,426.78

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Solution

The fourth proportional to 22,474.40, 33,702.84 and 8,426.78 is: 12,636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474.40 : 33,702.84 = 8,426.78 : x
  2. Step 2: Convert to fraction form
    22,474.40/33,702.84 = 8,426.78/x
  3. Step 3: Cross multiply
    22,474.40x = 33,702.84 × 8,426.78
  4. Step 4: Simplify right side
    22,474.40x = 284,006,249.54
  5. Step 5: Solve for x
    x = 284,006,249.54/22,474.40
  6. Step 6: Final answer
    x = 12,636.88

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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.