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Finding the Fourth Proportional to 17,881.36, 24,676.73 and 9,923.38

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Solution

The fourth proportional to 17,881.36, 24,676.73 and 9,923.38 is: 13,694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.36 : 24,676.73 = 9,923.38 : x
  2. Step 2: Convert to fraction form
    17,881.36/24,676.73 = 9,923.38/x
  3. Step 3: Cross multiply
    17,881.36x = 24,676.73 × 9,923.38
  4. Step 4: Simplify right side
    17,881.36x = 244,876,568.95
  5. Step 5: Solve for x
    x = 244,876,568.95/17,881.36
  6. Step 6: Final answer
    x = 13,694.52

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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.