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Finding the Fourth Proportional to 27,676.50, 38,193.44 and 15,101.26

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Solution

The fourth proportional to 27,676.50, 38,193.44 and 15,101.26 is: 20,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.50 : 38,193.44 = 15,101.26 : x
  2. Step 2: Convert to fraction form
    27,676.50/38,193.44 = 15,101.26/x
  3. Step 3: Cross multiply
    27,676.50x = 38,193.44 × 15,101.26
  4. Step 4: Simplify right side
    27,676.50x = 576,769,067.73
  5. Step 5: Solve for x
    x = 576,769,067.73/27,676.50
  6. Step 6: Final answer
    x = 20,839.67

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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.