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Finding the Fourth Proportional to 20,238.88, 27,928.92 and 11,855.20

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Solution

The fourth proportional to 20,238.88, 27,928.92 and 11,855.20 is: 16,359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.88 : 27,928.92 = 11,855.20 : x
  2. Step 2: Convert to fraction form
    20,238.88/27,928.92 = 11,855.20/x
  3. Step 3: Cross multiply
    20,238.88x = 27,928.92 × 11,855.20
  4. Step 4: Simplify right side
    20,238.88x = 331,102,932.38
  5. Step 5: Solve for x
    x = 331,102,932.38/20,238.88
  6. Step 6: Final answer
    x = 16,359.75

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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.