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Finding the Fourth Proportional to 20,131.78, 27,777.38 and 12,173.84

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Solution

The fourth proportional to 20,131.78, 27,777.38 and 12,173.84 is: 16,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.78 : 27,777.38 = 12,173.84 : x
  2. Step 2: Convert to fraction form
    20,131.78/27,777.38 = 12,173.84/x
  3. Step 3: Cross multiply
    20,131.78x = 27,777.38 × 12,173.84
  4. Step 4: Simplify right side
    20,131.78x = 338,157,379.74
  5. Step 5: Solve for x
    x = 338,157,379.74/20,131.78
  6. Step 6: Final answer
    x = 16,797.19

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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.