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Finding the Fourth Proportional to 20,096.63, 27,732.00 and 11,143.81

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Solution

The fourth proportional to 20,096.63, 27,732.00 and 11,143.81 is: 15,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.63 : 27,732.00 = 11,143.81 : x
  2. Step 2: Convert to fraction form
    20,096.63/27,732.00 = 11,143.81/x
  3. Step 3: Cross multiply
    20,096.63x = 27,732.00 × 11,143.81
  4. Step 4: Simplify right side
    20,096.63x = 309,040,059.38
  5. Step 5: Solve for x
    x = 309,040,059.38/20,096.63
  6. Step 6: Final answer
    x = 15,377.70

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Why These Related Problems?

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