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Finding the Fourth Proportional to 22,651.24, 33,974.94 and 7,857.64

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Solution

The fourth proportional to 22,651.24, 33,974.94 and 7,857.64 is: 11,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.24 : 33,974.94 = 7,857.64 : x
  2. Step 2: Convert to fraction form
    22,651.24/33,974.94 = 7,857.64/x
  3. Step 3: Cross multiply
    22,651.24x = 33,974.94 × 7,857.64
  4. Step 4: Simplify right side
    22,651.24x = 266,962,847.54
  5. Step 5: Solve for x
    x = 266,962,847.54/22,651.24
  6. Step 6: Final answer
    x = 11,785.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.