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Finding the Fourth Proportional to 14,450.94, 19,942.31 and 8,163.31

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Solution

The fourth proportional to 14,450.94, 19,942.31 and 8,163.31 is: 11,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,450.94 : 19,942.31 = 8,163.31 : x
  2. Step 2: Convert to fraction form
    14,450.94/19,942.31 = 8,163.31/x
  3. Step 3: Cross multiply
    14,450.94x = 19,942.31 × 8,163.31
  4. Step 4: Simplify right side
    14,450.94x = 162,795,258.65
  5. Step 5: Solve for x
    x = 162,795,258.65/14,450.94
  6. Step 6: Final answer
    x = 11,265.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.