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Finding the Fourth Proportional to 17,930.85, 24,744.23 and 9,864.03

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Solution

The fourth proportional to 17,930.85, 24,744.23 and 9,864.03 is: 13,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,930.85 : 24,744.23 = 9,864.03 : x
  2. Step 2: Convert to fraction form
    17,930.85/24,744.23 = 9,864.03/x
  3. Step 3: Cross multiply
    17,930.85x = 24,744.23 × 9,864.03
  4. Step 4: Simplify right side
    17,930.85x = 244,077,902.28
  5. Step 5: Solve for x
    x = 244,077,902.28/17,930.85
  6. Step 6: Final answer
    x = 13,612.18

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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.