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Finding the Fourth Proportional to 20,099.33, 27,736.64 and 11,146.64

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Solution

The fourth proportional to 20,099.33, 27,736.64 and 11,146.64 is: 15,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.33 : 27,736.64 = 11,146.64 : x
  2. Step 2: Convert to fraction form
    20,099.33/27,736.64 = 11,146.64/x
  3. Step 3: Cross multiply
    20,099.33x = 27,736.64 × 11,146.64
  4. Step 4: Simplify right side
    20,099.33x = 309,170,202.21
  5. Step 5: Solve for x
    x = 309,170,202.21/20,099.33
  6. Step 6: Final answer
    x = 15,382.12

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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.