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Finding the Fourth Proportional to 17,694.20, 24,418.20 and 10,140.38

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Solution

The fourth proportional to 17,694.20, 24,418.20 and 10,140.38 is: 13,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,694.20 : 24,418.20 = 10,140.38 : x
  2. Step 2: Convert to fraction form
    17,694.20/24,418.20 = 10,140.38/x
  3. Step 3: Cross multiply
    17,694.20x = 24,418.20 × 10,140.38
  4. Step 4: Simplify right side
    17,694.20x = 247,609,826.92
  5. Step 5: Solve for x
    x = 247,609,826.92/17,694.20
  6. Step 6: Final answer
    x = 13,993.84

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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.