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Finding the Fourth Proportional to 27,697.15, 38,221.86 and 15,121.90

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Solution

The fourth proportional to 27,697.15, 38,221.86 and 15,121.90 is: 20,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.15 : 38,221.86 = 15,121.90 : x
  2. Step 2: Convert to fraction form
    27,697.15/38,221.86 = 15,121.90/x
  3. Step 3: Cross multiply
    27,697.15x = 38,221.86 × 15,121.90
  4. Step 4: Simplify right side
    27,697.15x = 577,987,249.22
  5. Step 5: Solve for x
    x = 577,987,249.22/27,697.15
  6. Step 6: Final answer
    x = 20,868.11

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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.