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Finding the Fourth Proportional to 22,906.64, 34,353.64 and 8,113.64

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Solution

The fourth proportional to 22,906.64, 34,353.64 and 8,113.64 is: 12,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.64 : 34,353.64 = 8,113.64 : x
  2. Step 2: Convert to fraction form
    22,906.64/34,353.64 = 8,113.64/x
  3. Step 3: Cross multiply
    22,906.64x = 34,353.64 × 8,113.64
  4. Step 4: Simplify right side
    22,906.64x = 278,733,067.65
  5. Step 5: Solve for x
    x = 278,733,067.65/22,906.64
  6. Step 6: Final answer
    x = 12,168.22

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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.