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Finding the Fourth Proportional to 22,927.32, 34,394.42 and 8,132.78

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Solution

The fourth proportional to 22,927.32, 34,394.42 and 8,132.78 is: 12,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.32 : 34,394.42 = 8,132.78 : x
  2. Step 2: Convert to fraction form
    22,927.32/34,394.42 = 8,132.78/x
  3. Step 3: Cross multiply
    22,927.32x = 34,394.42 × 8,132.78
  4. Step 4: Simplify right side
    22,927.32x = 279,722,251.09
  5. Step 5: Solve for x
    x = 279,722,251.09/22,927.32
  6. Step 6: Final answer
    x = 12,200.39

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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.