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Finding the Fourth Proportional to 18,642.62, 27,947.24 and 6,788.03

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Solution

The fourth proportional to 18,642.62, 27,947.24 and 6,788.03 is: 10,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.62 : 27,947.24 = 6,788.03 : x
  2. Step 2: Convert to fraction form
    18,642.62/27,947.24 = 6,788.03/x
  3. Step 3: Cross multiply
    18,642.62x = 27,947.24 × 6,788.03
  4. Step 4: Simplify right side
    18,642.62x = 189,706,669.60
  5. Step 5: Solve for x
    x = 189,706,669.60/18,642.62
  6. Step 6: Final answer
    x = 10,175.97

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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.