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Finding the Fourth Proportional to 20,096.31, 27,732.75 and 11,143.84

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Solution

The fourth proportional to 20,096.31, 27,732.75 and 11,143.84 is: 15,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.31 : 27,732.75 = 11,143.84 : x
  2. Step 2: Convert to fraction form
    20,096.31/27,732.75 = 11,143.84/x
  3. Step 3: Cross multiply
    20,096.31x = 27,732.75 × 11,143.84
  4. Step 4: Simplify right side
    20,096.31x = 309,049,259.43
  5. Step 5: Solve for x
    x = 309,049,259.43/20,096.31
  6. Step 6: Final answer
    x = 15,378.41

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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.