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Finding the Fourth Proportional to 22,571.24, 33,853 and 6,771.96

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Solution

The fourth proportional to 22,571.24, 33,853 and 6,771.96 is: 10,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571.24 : 33,853 = 6,771.96 : x
  2. Step 2: Convert to fraction form
    22,571.24/33,853 = 6,771.96/x
  3. Step 3: Cross multiply
    22,571.24x = 33,853 × 6,771.96
  4. Step 4: Simplify right side
    22,571.24x = 229,251,161.88
  5. Step 5: Solve for x
    x = 229,251,161.88/22,571.24
  6. Step 6: Final answer
    x = 10,156.78

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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.