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Finding the Fourth Proportional to 20,028.78, 27,642.12 and 11,645.28

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Solution

The fourth proportional to 20,028.78, 27,642.12 and 11,645.28 is: 16,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,028.78 : 27,642.12 = 11,645.28 : x
  2. Step 2: Convert to fraction form
    20,028.78/27,642.12 = 11,645.28/x
  3. Step 3: Cross multiply
    20,028.78x = 27,642.12 × 11,645.28
  4. Step 4: Simplify right side
    20,028.78x = 321,900,227.19
  5. Step 5: Solve for x
    x = 321,900,227.19/20,028.78
  6. Step 6: Final answer
    x = 16,071.88

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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.