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Finding the Fourth Proportional to 22,250.57, 33,370.58 and 8,202.96

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Solution

The fourth proportional to 22,250.57, 33,370.58 and 8,202.96 is: 12,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,250.57 : 33,370.58 = 8,202.96 : x
  2. Step 2: Convert to fraction form
    22,250.57/33,370.58 = 8,202.96/x
  3. Step 3: Cross multiply
    22,250.57x = 33,370.58 × 8,202.96
  4. Step 4: Simplify right side
    22,250.57x = 273,737,491.90
  5. Step 5: Solve for x
    x = 273,737,491.90/22,250.57
  6. Step 6: Final answer
    x = 12,302.50

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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.