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Finding the Fourth Proportional to 18,467.65, 27,694.18 and 6,774.49

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Solution

The fourth proportional to 18,467.65, 27,694.18 and 6,774.49 is: 10,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,467.65 : 27,694.18 = 6,774.49 : x
  2. Step 2: Convert to fraction form
    18,467.65/27,694.18 = 6,774.49/x
  3. Step 3: Cross multiply
    18,467.65x = 27,694.18 × 6,774.49
  4. Step 4: Simplify right side
    18,467.65x = 187,613,945.47
  5. Step 5: Solve for x
    x = 187,613,945.47/18,467.65
  6. Step 6: Final answer
    x = 10,159.06

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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.