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Finding the Fourth Proportional to 20,018.25, 27,627.63 and 11,634.75

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Solution

The fourth proportional to 20,018.25, 27,627.63 and 11,634.75 is: 16,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,018.25 : 27,627.63 = 11,634.75 : x
  2. Step 2: Convert to fraction form
    20,018.25/27,627.63 = 11,634.75/x
  3. Step 3: Cross multiply
    20,018.25x = 27,627.63 × 11,634.75
  4. Step 4: Simplify right side
    20,018.25x = 321,440,568.14
  5. Step 5: Solve for x
    x = 321,440,568.14/20,018.25
  6. Step 6: Final answer
    x = 16,057.38

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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.