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Finding the Fourth Proportional to 20,563.66, 30,847 and 18,115.44

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Solution

The fourth proportional to 20,563.66, 30,847 and 18,115.44 is: 27,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.66 : 30,847 = 18,115.44 : x
  2. Step 2: Convert to fraction form
    20,563.66/30,847 = 18,115.44/x
  3. Step 3: Cross multiply
    20,563.66x = 30,847 × 18,115.44
  4. Step 4: Simplify right side
    20,563.66x = 558,806,977.68
  5. Step 5: Solve for x
    x = 558,806,977.68/20,563.66
  6. Step 6: Final answer
    x = 27,174.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.