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Finding the Fourth Proportional to 20,098.98, 27,736.56 and 11,146.56

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Solution

The fourth proportional to 20,098.98, 27,736.56 and 11,146.56 is: 15,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.98 : 27,736.56 = 11,146.56 : x
  2. Step 2: Convert to fraction form
    20,098.98/27,736.56 = 11,146.56/x
  3. Step 3: Cross multiply
    20,098.98x = 27,736.56 × 11,146.56
  4. Step 4: Simplify right side
    20,098.98x = 309,167,230.23
  5. Step 5: Solve for x
    x = 309,167,230.23/20,098.98
  6. Step 6: Final answer
    x = 15,382.23

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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.