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Finding the Fourth Proportional to 20,096.67, 27,732.05 and 11,143.84

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Solution

The fourth proportional to 20,096.67, 27,732.05 and 11,143.84 is: 15,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.67 : 27,732.05 = 11,143.84 : x
  2. Step 2: Convert to fraction form
    20,096.67/27,732.05 = 11,143.84/x
  3. Step 3: Cross multiply
    20,096.67x = 27,732.05 × 11,143.84
  4. Step 4: Simplify right side
    20,096.67x = 309,041,333.69
  5. Step 5: Solve for x
    x = 309,041,333.69/20,096.67
  6. Step 6: Final answer
    x = 15,377.74

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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.