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Finding the Fourth Proportional to 22,504.24, 33,747.24 and 8,269.36

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Solution

The fourth proportional to 22,504.24, 33,747.24 and 8,269.36 is: 12,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,504.24 : 33,747.24 = 8,269.36 : x
  2. Step 2: Convert to fraction form
    22,504.24/33,747.24 = 8,269.36/x
  3. Step 3: Cross multiply
    22,504.24x = 33,747.24 × 8,269.36
  4. Step 4: Simplify right side
    22,504.24x = 279,068,076.57
  5. Step 5: Solve for x
    x = 279,068,076.57/22,504.24
  6. Step 6: Final answer
    x = 12,400.69

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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.