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Finding the Fourth Proportional to 16,195.38, 24,282.68 and 6,832.84

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Solution

The fourth proportional to 16,195.38, 24,282.68 and 6,832.84 is: 10,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.38 : 24,282.68 = 6,832.84 : x
  2. Step 2: Convert to fraction form
    16,195.38/24,282.68 = 6,832.84/x
  3. Step 3: Cross multiply
    16,195.38x = 24,282.68 × 6,832.84
  4. Step 4: Simplify right side
    16,195.38x = 165,919,667.21
  5. Step 5: Solve for x
    x = 165,919,667.21/16,195.38
  6. Step 6: Final answer
    x = 10,244.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.