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Finding the Fourth Proportional to 20,105.13, 27,745.10 and 11,723.25

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Solution

The fourth proportional to 20,105.13, 27,745.10 and 11,723.25 is: 16,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.13 : 27,745.10 = 11,723.25 : x
  2. Step 2: Convert to fraction form
    20,105.13/27,745.10 = 11,723.25/x
  3. Step 3: Cross multiply
    20,105.13x = 27,745.10 × 11,723.25
  4. Step 4: Simplify right side
    20,105.13x = 325,262,743.58
  5. Step 5: Solve for x
    x = 325,262,743.58/20,105.13
  6. Step 6: Final answer
    x = 16,178.10

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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.