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Finding the Fourth Proportional to 22,922.64, 34,375.75 and 12,400.44

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Solution

The fourth proportional to 22,922.64, 34,375.75 and 12,400.44 is: 18,596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.64 : 34,375.75 = 12,400.44 : x
  2. Step 2: Convert to fraction form
    22,922.64/34,375.75 = 12,400.44/x
  3. Step 3: Cross multiply
    22,922.64x = 34,375.75 × 12,400.44
  4. Step 4: Simplify right side
    22,922.64x = 426,274,425.33
  5. Step 5: Solve for x
    x = 426,274,425.33/22,922.64
  6. Step 6: Final answer
    x = 18,596.22

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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.