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Finding the Fourth Proportional to 20,242.88, 27,937.61 and 11,859.38

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Solution

The fourth proportional to 20,242.88, 27,937.61 and 11,859.38 is: 16,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.88 : 27,937.61 = 11,859.38 : x
  2. Step 2: Convert to fraction form
    20,242.88/27,937.61 = 11,859.38/x
  3. Step 3: Cross multiply
    20,242.88x = 27,937.61 × 11,859.38
  4. Step 4: Simplify right side
    20,242.88x = 331,322,534.30
  5. Step 5: Solve for x
    x = 331,322,534.30/20,242.88
  6. Step 6: Final answer
    x = 16,367.37

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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.