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Finding the Fourth Proportional to 20,846.62, 28,768.35 and 11,286.51

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Solution

The fourth proportional to 20,846.62, 28,768.35 and 11,286.51 is: 15,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846.62 : 28,768.35 = 11,286.51 : x
  2. Step 2: Convert to fraction form
    20,846.62/28,768.35 = 11,286.51/x
  3. Step 3: Cross multiply
    20,846.62x = 28,768.35 × 11,286.51
  4. Step 4: Simplify right side
    20,846.62x = 324,694,269.96
  5. Step 5: Solve for x
    x = 324,694,269.96/20,846.62
  6. Step 6: Final answer
    x = 15,575.39

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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.