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Finding the Fourth Proportional to 20,847.28, 28,769.04 and 11,287

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Solution

The fourth proportional to 20,847.28, 28,769.04 and 11,287 is: 15,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,847.28 : 28,769.04 = 11,287 : x
  2. Step 2: Convert to fraction form
    20,847.28/28,769.04 = 11,287/x
  3. Step 3: Cross multiply
    20,847.28x = 28,769.04 × 11,287
  4. Step 4: Simplify right side
    20,847.28x = 324,716,154.48
  5. Step 5: Solve for x
    x = 324,716,154.48/20,847.28
  6. Step 6: Final answer
    x = 15,575.95

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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.