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Finding the Fourth Proportional to 17,940.26, 24,757.72 and 9,982.82

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Solution

The fourth proportional to 17,940.26, 24,757.72 and 9,982.82 is: 13,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,940.26 : 24,757.72 = 9,982.82 : x
  2. Step 2: Convert to fraction form
    17,940.26/24,757.72 = 9,982.82/x
  3. Step 3: Cross multiply
    17,940.26x = 24,757.72 × 9,982.82
  4. Step 4: Simplify right side
    17,940.26x = 247,151,862.37
  5. Step 5: Solve for x
    x = 247,151,862.37/17,940.26
  6. Step 6: Final answer
    x = 13,776.38

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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.