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Finding the Fourth Proportional to 22,572.17, 33,839.78 and 8,524.23

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Solution

The fourth proportional to 22,572.17, 33,839.78 and 8,524.23 is: 12,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,572.17 : 33,839.78 = 8,524.23 : x
  2. Step 2: Convert to fraction form
    22,572.17/33,839.78 = 8,524.23/x
  3. Step 3: Cross multiply
    22,572.17x = 33,839.78 × 8,524.23
  4. Step 4: Simplify right side
    22,572.17x = 288,457,946.30
  5. Step 5: Solve for x
    x = 288,457,946.30/22,572.17
  6. Step 6: Final answer
    x = 12,779.36

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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.