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Finding the Fourth Proportional to 24,204, 33,399.04 and 13,594.88

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Solution

The fourth proportional to 24,204, 33,399.04 and 13,594.88 is: 18,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,204 : 33,399.04 = 13,594.88 : x
  2. Step 2: Convert to fraction form
    24,204/33,399.04 = 13,594.88/x
  3. Step 3: Cross multiply
    24,204x = 33,399.04 × 13,594.88
  4. Step 4: Simplify right side
    24,204x = 454,055,940.92
  5. Step 5: Solve for x
    x = 454,055,940.92/24,204
  6. Step 6: Final answer
    x = 18,759.54

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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.