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Finding the Fourth Proportional to 22,189.50, 33,255.08 and 10,951.02

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Solution

The fourth proportional to 22,189.50, 33,255.08 and 10,951.02 is: 16,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,189.50 : 33,255.08 = 10,951.02 : x
  2. Step 2: Convert to fraction form
    22,189.50/33,255.08 = 10,951.02/x
  3. Step 3: Cross multiply
    22,189.50x = 33,255.08 × 10,951.02
  4. Step 4: Simplify right side
    22,189.50x = 364,177,046.18
  5. Step 5: Solve for x
    x = 364,177,046.18/22,189.50
  6. Step 6: Final answer
    x = 16,412.13

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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.