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Finding the Fourth Proportional to 20,096.69, 27,731.62 and 11,144.17

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Solution

The fourth proportional to 20,096.69, 27,731.62 and 11,144.17 is: 15,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.69 : 27,731.62 = 11,144.17 : x
  2. Step 2: Convert to fraction form
    20,096.69/27,731.62 = 11,144.17/x
  3. Step 3: Cross multiply
    20,096.69x = 27,731.62 × 11,144.17
  4. Step 4: Simplify right side
    20,096.69x = 309,045,717.57
  5. Step 5: Solve for x
    x = 309,045,717.57/20,096.69
  6. Step 6: Final answer
    x = 15,377.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.