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Finding the Fourth Proportional to 17,943.42, 24,760.17 and 9,984.90

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Solution

The fourth proportional to 17,943.42, 24,760.17 and 9,984.90 is: 13,778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,943.42 : 24,760.17 = 9,984.90 : x
  2. Step 2: Convert to fraction form
    17,943.42/24,760.17 = 9,984.90/x
  3. Step 3: Cross multiply
    17,943.42x = 24,760.17 × 9,984.90
  4. Step 4: Simplify right side
    17,943.42x = 247,227,821.43
  5. Step 5: Solve for x
    x = 247,227,821.43/17,943.42
  6. Step 6: Final answer
    x = 13,778.19

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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.