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Finding the Fourth Proportional to 22,512.94, 33,769.42 and 5,872.95

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Solution

The fourth proportional to 22,512.94, 33,769.42 and 5,872.95 is: 8,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512.94 : 33,769.42 = 5,872.95 : x
  2. Step 2: Convert to fraction form
    22,512.94/33,769.42 = 5,872.95/x
  3. Step 3: Cross multiply
    22,512.94x = 33,769.42 × 5,872.95
  4. Step 4: Simplify right side
    22,512.94x = 198,326,115.19
  5. Step 5: Solve for x
    x = 198,326,115.19/22,512.94
  6. Step 6: Final answer
    x = 8,809.43

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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.