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Finding the Fourth Proportional to 17,939.83, 24,757.41 and 9,982.84

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Solution

The fourth proportional to 17,939.83, 24,757.41 and 9,982.84 is: 13,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,939.83 : 24,757.41 = 9,982.84 : x
  2. Step 2: Convert to fraction form
    17,939.83/24,757.41 = 9,982.84/x
  3. Step 3: Cross multiply
    17,939.83x = 24,757.41 × 9,982.84
  4. Step 4: Simplify right side
    17,939.83x = 247,149,262.84
  5. Step 5: Solve for x
    x = 247,149,262.84/17,939.83
  6. Step 6: Final answer
    x = 13,776.57

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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.