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Finding the Fourth Proportional to 22,733.20, 34,101.42 and 7,940.44

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Solution

The fourth proportional to 22,733.20, 34,101.42 and 7,940.44 is: 11,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,733.20 : 34,101.42 = 7,940.44 : x
  2. Step 2: Convert to fraction form
    22,733.20/34,101.42 = 7,940.44/x
  3. Step 3: Cross multiply
    22,733.20x = 34,101.42 × 7,940.44
  4. Step 4: Simplify right side
    22,733.20x = 270,780,279.42
  5. Step 5: Solve for x
    x = 270,780,279.42/22,733.20
  6. Step 6: Final answer
    x = 11,911.23

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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.