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Finding the Fourth Proportional to 17,881.97, 24,676.89 and 9,924.17

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Solution

The fourth proportional to 17,881.97, 24,676.89 and 9,924.17 is: 13,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.97 : 24,676.89 = 9,924.17 : x
  2. Step 2: Convert to fraction form
    17,881.97/24,676.89 = 9,924.17/x
  3. Step 3: Cross multiply
    17,881.97x = 24,676.89 × 9,924.17
  4. Step 4: Simplify right side
    17,881.97x = 244,897,651.43
  5. Step 5: Solve for x
    x = 244,897,651.43/17,881.97
  6. Step 6: Final answer
    x = 13,695.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.