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Finding the Fourth Proportional to 22,922.33, 34,423.11 and 13,620.78

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Solution

The fourth proportional to 22,922.33, 34,423.11 and 13,620.78 is: 20,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.33 : 34,423.11 = 13,620.78 : x
  2. Step 2: Convert to fraction form
    22,922.33/34,423.11 = 13,620.78/x
  3. Step 3: Cross multiply
    22,922.33x = 34,423.11 × 13,620.78
  4. Step 4: Simplify right side
    22,922.33x = 468,869,608.23
  5. Step 5: Solve for x
    x = 468,869,608.23/22,922.33
  6. Step 6: Final answer
    x = 20,454.71

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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.