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Finding the Fourth Proportional to 24,382, 33,647.28 and 13,204

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Solution

The fourth proportional to 24,382, 33,647.28 and 13,204 is: 18,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382 : 33,647.28 = 13,204 : x
  2. Step 2: Convert to fraction form
    24,382/33,647.28 = 13,204/x
  3. Step 3: Cross multiply
    24,382x = 33,647.28 × 13,204
  4. Step 4: Simplify right side
    24,382x = 444,278,685.12
  5. Step 5: Solve for x
    x = 444,278,685.12/24,382
  6. Step 6: Final answer
    x = 18,221.58

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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.