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Finding the Fourth Proportional to 22,098.24, 33,150.60 and 8,244

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Solution

The fourth proportional to 22,098.24, 33,150.60 and 8,244 is: 12,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.24 : 33,150.60 = 8,244 : x
  2. Step 2: Convert to fraction form
    22,098.24/33,150.60 = 8,244/x
  3. Step 3: Cross multiply
    22,098.24x = 33,150.60 × 8,244
  4. Step 4: Simplify right side
    22,098.24x = 273,293,546.40
  5. Step 5: Solve for x
    x = 273,293,546.40/22,098.24
  6. Step 6: Final answer
    x = 12,367.21

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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.