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Finding the Fourth Proportional to 22,523.26, 33,785.71 and 7,732.09

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Solution

The fourth proportional to 22,523.26, 33,785.71 and 7,732.09 is: 11,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.26 : 33,785.71 = 7,732.09 : x
  2. Step 2: Convert to fraction form
    22,523.26/33,785.71 = 7,732.09/x
  3. Step 3: Cross multiply
    22,523.26x = 33,785.71 × 7,732.09
  4. Step 4: Simplify right side
    22,523.26x = 261,234,131.10
  5. Step 5: Solve for x
    x = 261,234,131.10/22,523.26
  6. Step 6: Final answer
    x = 11,598.42

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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.