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Finding the Fourth Proportional to 22,942.74, 34,393.73 and 8,149.71

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Solution

The fourth proportional to 22,942.74, 34,393.73 and 8,149.71 is: 12,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.74 : 34,393.73 = 8,149.71 : x
  2. Step 2: Convert to fraction form
    22,942.74/34,393.73 = 8,149.71/x
  3. Step 3: Cross multiply
    22,942.74x = 34,393.73 × 8,149.71
  4. Step 4: Simplify right side
    22,942.74x = 280,298,884.57
  5. Step 5: Solve for x
    x = 280,298,884.57/22,942.74
  6. Step 6: Final answer
    x = 12,217.32

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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.