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Finding the Fourth Proportional to 20,096.76, 27,732.78 and 11,144.36

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Solution

The fourth proportional to 20,096.76, 27,732.78 and 11,144.36 is: 15,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.76 : 27,732.78 = 11,144.36 : x
  2. Step 2: Convert to fraction form
    20,096.76/27,732.78 = 11,144.36/x
  3. Step 3: Cross multiply
    20,096.76x = 27,732.78 × 11,144.36
  4. Step 4: Simplify right side
    20,096.76x = 309,064,084.12
  5. Step 5: Solve for x
    x = 309,064,084.12/20,096.76
  6. Step 6: Final answer
    x = 15,378.80

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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.