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Finding the Fourth Proportional to 10,096.85, 15,179.48 and 8,136.24

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Solution

The fourth proportional to 10,096.85, 15,179.48 and 8,136.24 is: 12,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.85 : 15,179.48 = 8,136.24 : x
  2. Step 2: Convert to fraction form
    10,096.85/15,179.48 = 8,136.24/x
  3. Step 3: Cross multiply
    10,096.85x = 15,179.48 × 8,136.24
  4. Step 4: Simplify right side
    10,096.85x = 123,503,999.11
  5. Step 5: Solve for x
    x = 123,503,999.11/10,096.85
  6. Step 6: Final answer
    x = 12,231.93

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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.