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Finding the Fourth Proportional to 20,238.75, 27,933.12 and 11,855.25

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Solution

The fourth proportional to 20,238.75, 27,933.12 and 11,855.25 is: 16,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.75 : 27,933.12 = 11,855.25 : x
  2. Step 2: Convert to fraction form
    20,238.75/27,933.12 = 11,855.25/x
  3. Step 3: Cross multiply
    20,238.75x = 27,933.12 × 11,855.25
  4. Step 4: Simplify right side
    20,238.75x = 331,154,120.88
  5. Step 5: Solve for x
    x = 331,154,120.88/20,238.75
  6. Step 6: Final answer
    x = 16,362.38

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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.