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Finding the Fourth Proportional to 20,098.78, 27,736.38 and 11,147.10

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Solution

The fourth proportional to 20,098.78, 27,736.38 and 11,147.10 is: 15,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.78 : 27,736.38 = 11,147.10 : x
  2. Step 2: Convert to fraction form
    20,098.78/27,736.38 = 11,147.10/x
  3. Step 3: Cross multiply
    20,098.78x = 27,736.38 × 11,147.10
  4. Step 4: Simplify right side
    20,098.78x = 309,180,201.50
  5. Step 5: Solve for x
    x = 309,180,201.50/20,098.78
  6. Step 6: Final answer
    x = 15,383.03

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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.