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Finding the Fourth Proportional to 18,633.26, 27,957.36 and 6,787.86

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Solution

The fourth proportional to 18,633.26, 27,957.36 and 6,787.86 is: 10,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,633.26 : 27,957.36 = 6,787.86 : x
  2. Step 2: Convert to fraction form
    18,633.26/27,957.36 = 6,787.86/x
  3. Step 3: Cross multiply
    18,633.26x = 27,957.36 × 6,787.86
  4. Step 4: Simplify right side
    18,633.26x = 189,770,645.65
  5. Step 5: Solve for x
    x = 189,770,645.65/18,633.26
  6. Step 6: Final answer
    x = 10,184.51

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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.