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Finding the Fourth Proportional to 18,476.74, 27,717.84 and 6,789.05

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Solution

The fourth proportional to 18,476.74, 27,717.84 and 6,789.05 is: 10,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,476.74 : 27,717.84 = 6,789.05 : x
  2. Step 2: Convert to fraction form
    18,476.74/27,717.84 = 6,789.05/x
  3. Step 3: Cross multiply
    18,476.74x = 27,717.84 × 6,789.05
  4. Step 4: Simplify right side
    18,476.74x = 188,177,801.65
  5. Step 5: Solve for x
    x = 188,177,801.65/18,476.74
  6. Step 6: Final answer
    x = 10,184.58

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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.