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Finding the Fourth Proportional to 20,167.97, 27,833.49 and 11,217.20

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Solution

The fourth proportional to 20,167.97, 27,833.49 and 11,217.20 is: 15,480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.97 : 27,833.49 = 11,217.20 : x
  2. Step 2: Convert to fraction form
    20,167.97/27,833.49 = 11,217.20/x
  3. Step 3: Cross multiply
    20,167.97x = 27,833.49 × 11,217.20
  4. Step 4: Simplify right side
    20,167.97x = 312,213,684.86
  5. Step 5: Solve for x
    x = 312,213,684.86/20,167.97
  6. Step 6: Final answer
    x = 15,480.67

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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.