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Finding the Fourth Proportional to 24,392.38, 33,661.54 and 13,214.38

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Solution

The fourth proportional to 24,392.38, 33,661.54 and 13,214.38 is: 18,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.38 : 33,661.54 = 13,214.38 : x
  2. Step 2: Convert to fraction form
    24,392.38/33,661.54 = 13,214.38/x
  3. Step 3: Cross multiply
    24,392.38x = 33,661.54 × 13,214.38
  4. Step 4: Simplify right side
    24,392.38x = 444,816,380.95
  5. Step 5: Solve for x
    x = 444,816,380.95/24,392.38
  6. Step 6: Final answer
    x = 18,235.87

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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.