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Finding the Fourth Proportional to 10,231.82, 15,328.02 and 8,568.62

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Solution

The fourth proportional to 10,231.82, 15,328.02 and 8,568.62 is: 12,836.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.82 : 15,328.02 = 8,568.62 : x
  2. Step 2: Convert to fraction form
    10,231.82/15,328.02 = 8,568.62/x
  3. Step 3: Cross multiply
    10,231.82x = 15,328.02 × 8,568.62
  4. Step 4: Simplify right side
    10,231.82x = 131,339,978.73
  5. Step 5: Solve for x
    x = 131,339,978.73/10,231.82
  6. Step 6: Final answer
    x = 12,836.42

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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.