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Finding the Fourth Proportional to 22,532.93, 33,805.10 and 8,494.22

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Solution

The fourth proportional to 22,532.93, 33,805.10 and 8,494.22 is: 12,743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.93 : 33,805.10 = 8,494.22 : x
  2. Step 2: Convert to fraction form
    22,532.93/33,805.10 = 8,494.22/x
  3. Step 3: Cross multiply
    22,532.93x = 33,805.10 × 8,494.22
  4. Step 4: Simplify right side
    22,532.93x = 287,147,824.34
  5. Step 5: Solve for x
    x = 287,147,824.34/22,532.93
  6. Step 6: Final answer
    x = 12,743.47

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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.