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Finding the Fourth Proportional to 20,131.62, 27,794.79 and 13,078.14

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Solution

The fourth proportional to 20,131.62, 27,794.79 and 13,078.14 is: 18,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.62 : 27,794.79 = 13,078.14 : x
  2. Step 2: Convert to fraction form
    20,131.62/27,794.79 = 13,078.14/x
  3. Step 3: Cross multiply
    20,131.62x = 27,794.79 × 13,078.14
  4. Step 4: Simplify right side
    20,131.62x = 363,504,154.89
  5. Step 5: Solve for x
    x = 363,504,154.89/20,131.62
  6. Step 6: Final answer
    x = 18,056.38

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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.