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Finding the Fourth Proportional to 20,857.36, 28,785.22 and 11,906.21

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Solution

The fourth proportional to 20,857.36, 28,785.22 and 11,906.21 is: 16,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.36 : 28,785.22 = 11,906.21 : x
  2. Step 2: Convert to fraction form
    20,857.36/28,785.22 = 11,906.21/x
  3. Step 3: Cross multiply
    20,857.36x = 28,785.22 × 11,906.21
  4. Step 4: Simplify right side
    20,857.36x = 342,722,700.52
  5. Step 5: Solve for x
    x = 342,722,700.52/20,857.36
  6. Step 6: Final answer
    x = 16,431.74

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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.