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Finding the Fourth Proportional to 20,286.08, 27,994.71 and 11,211.18

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Solution

The fourth proportional to 20,286.08, 27,994.71 and 11,211.18 is: 15,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286.08 : 27,994.71 = 11,211.18 : x
  2. Step 2: Convert to fraction form
    20,286.08/27,994.71 = 11,211.18/x
  3. Step 3: Cross multiply
    20,286.08x = 27,994.71 × 11,211.18
  4. Step 4: Simplify right side
    20,286.08x = 313,853,732.86
  5. Step 5: Solve for x
    x = 313,853,732.86/20,286.08
  6. Step 6: Final answer
    x = 15,471.39

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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.