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Finding the Fourth Proportional to 20,200.71, 27,874.23 and 11,247.06

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Solution

The fourth proportional to 20,200.71, 27,874.23 and 11,247.06 is: 15,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.71 : 27,874.23 = 11,247.06 : x
  2. Step 2: Convert to fraction form
    20,200.71/27,874.23 = 11,247.06/x
  3. Step 3: Cross multiply
    20,200.71x = 27,874.23 × 11,247.06
  4. Step 4: Simplify right side
    20,200.71x = 313,503,137.26
  5. Step 5: Solve for x
    x = 313,503,137.26/20,200.71
  6. Step 6: Final answer
    x = 15,519.41

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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.