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Finding the Fourth Proportional to 23,231, 34,850.82 and 10,919

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Solution

The fourth proportional to 23,231, 34,850.82 and 10,919 is: 16,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,231 : 34,850.82 = 10,919 : x
  2. Step 2: Convert to fraction form
    23,231/34,850.82 = 10,919/x
  3. Step 3: Cross multiply
    23,231x = 34,850.82 × 10,919
  4. Step 4: Simplify right side
    23,231x = 380,536,103.58
  5. Step 5: Solve for x
    x = 380,536,103.58/23,231
  6. Step 6: Final answer
    x = 16,380.53

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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.