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Finding the Fourth Proportional to 18,842.24, 25,996.96 and 12,131.75

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Solution

The fourth proportional to 18,842.24, 25,996.96 and 12,131.75 is: 16,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,842.24 : 25,996.96 = 12,131.75 : x
  2. Step 2: Convert to fraction form
    18,842.24/25,996.96 = 12,131.75/x
  3. Step 3: Cross multiply
    18,842.24x = 25,996.96 × 12,131.75
  4. Step 4: Simplify right side
    18,842.24x = 315,388,619.48
  5. Step 5: Solve for x
    x = 315,388,619.48/18,842.24
  6. Step 6: Final answer
    x = 16,738.38

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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.