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Finding the Fourth Proportional to 18,378.87, 27,540.66 and 13,676.82

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Solution

The fourth proportional to 18,378.87, 27,540.66 and 13,676.82 is: 20,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378.87 : 27,540.66 = 13,676.82 : x
  2. Step 2: Convert to fraction form
    18,378.87/27,540.66 = 13,676.82/x
  3. Step 3: Cross multiply
    18,378.87x = 27,540.66 × 13,676.82
  4. Step 4: Simplify right side
    18,378.87x = 376,668,649.50
  5. Step 5: Solve for x
    x = 376,668,649.50/18,378.87
  6. Step 6: Final answer
    x = 20,494.66

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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.