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Finding the Fourth Proportional to 24,327.28, 33,571.70 and 13,149.28

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Solution

The fourth proportional to 24,327.28, 33,571.70 and 13,149.28 is: 18,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,327.28 : 33,571.70 = 13,149.28 : x
  2. Step 2: Convert to fraction form
    24,327.28/33,571.70 = 13,149.28/x
  3. Step 3: Cross multiply
    24,327.28x = 33,571.70 × 13,149.28
  4. Step 4: Simplify right side
    24,327.28x = 441,443,683.38
  5. Step 5: Solve for x
    x = 441,443,683.38/24,327.28
  6. Step 6: Final answer
    x = 18,146.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.