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Finding the Fourth Proportional to 22,891.96, 34,338.78 and 8,102.44

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Solution

The fourth proportional to 22,891.96, 34,338.78 and 8,102.44 is: 12,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,891.96 : 34,338.78 = 8,102.44 : x
  2. Step 2: Convert to fraction form
    22,891.96/34,338.78 = 8,102.44/x
  3. Step 3: Cross multiply
    22,891.96x = 34,338.78 × 8,102.44
  4. Step 4: Simplify right side
    22,891.96x = 278,227,904.62
  5. Step 5: Solve for x
    x = 278,227,904.62/22,891.96
  6. Step 6: Final answer
    x = 12,153.96

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1.5x scale

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.