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Finding the Fourth Proportional to 20,097.09, 27,734.28 and 11,023.32

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Solution

The fourth proportional to 20,097.09, 27,734.28 and 11,023.32 is: 15,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.09 : 27,734.28 = 11,023.32 : x
  2. Step 2: Convert to fraction form
    20,097.09/27,734.28 = 11,023.32/x
  3. Step 3: Cross multiply
    20,097.09x = 27,734.28 × 11,023.32
  4. Step 4: Simplify right side
    20,097.09x = 305,723,843.41
  5. Step 5: Solve for x
    x = 305,723,843.41/20,097.09
  6. Step 6: Final answer
    x = 15,212.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.