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Finding the Fourth Proportional to 17,954.38, 24,776.49 and 9,996.43

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Solution

The fourth proportional to 17,954.38, 24,776.49 and 9,996.43 is: 13,794.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954.38 : 24,776.49 = 9,996.43 : x
  2. Step 2: Convert to fraction form
    17,954.38/24,776.49 = 9,996.43/x
  3. Step 3: Cross multiply
    17,954.38x = 24,776.49 × 9,996.43
  4. Step 4: Simplify right side
    17,954.38x = 247,676,447.93
  5. Step 5: Solve for x
    x = 247,676,447.93/17,954.38
  6. Step 6: Final answer
    x = 13,794.76

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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.