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Finding the Fourth Proportional to 20,310.31, 30,462.31 and 7,836.18

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Solution

The fourth proportional to 20,310.31, 30,462.31 and 7,836.18 is: 11,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,310.31 : 30,462.31 = 7,836.18 : x
  2. Step 2: Convert to fraction form
    20,310.31/30,462.31 = 7,836.18/x
  3. Step 3: Cross multiply
    20,310.31x = 30,462.31 × 7,836.18
  4. Step 4: Simplify right side
    20,310.31x = 238,708,144.38
  5. Step 5: Solve for x
    x = 238,708,144.38/20,310.31
  6. Step 6: Final answer
    x = 11,753.05

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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.