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Finding the Fourth Proportional to 17,942.18, 24,757.98 and 9,983.84

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Solution

The fourth proportional to 17,942.18, 24,757.98 and 9,983.84 is: 13,776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,942.18 : 24,757.98 = 9,983.84 : x
  2. Step 2: Convert to fraction form
    17,942.18/24,757.98 = 9,983.84/x
  3. Step 3: Cross multiply
    17,942.18x = 24,757.98 × 9,983.84
  4. Step 4: Simplify right side
    17,942.18x = 247,179,711.04
  5. Step 5: Solve for x
    x = 247,179,711.04/17,942.18
  6. Step 6: Final answer
    x = 13,776.46

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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.