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Finding the Fourth Proportional to 20,857.37, 28,785.58 and 11,906.16

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Solution

The fourth proportional to 20,857.37, 28,785.58 and 11,906.16 is: 16,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.37 : 28,785.58 = 11,906.16 : x
  2. Step 2: Convert to fraction form
    20,857.37/28,785.58 = 11,906.16/x
  3. Step 3: Cross multiply
    20,857.37x = 28,785.58 × 11,906.16
  4. Step 4: Simplify right side
    20,857.37x = 342,725,583.46
  5. Step 5: Solve for x
    x = 342,725,583.46/20,857.37
  6. Step 6: Final answer
    x = 16,431.87

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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.