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Finding the Fourth Proportional to 22,535.82, 33,818.85 and 8,508.78

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Solution

The fourth proportional to 22,535.82, 33,818.85 and 8,508.78 is: 12,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,535.82 : 33,818.85 = 8,508.78 : x
  2. Step 2: Convert to fraction form
    22,535.82/33,818.85 = 8,508.78/x
  3. Step 3: Cross multiply
    22,535.82x = 33,818.85 × 8,508.78
  4. Step 4: Simplify right side
    22,535.82x = 287,757,154.50
  5. Step 5: Solve for x
    x = 287,757,154.50/22,535.82
  6. Step 6: Final answer
    x = 12,768.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.