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Finding the Fourth Proportional to 27,647.69, 38,145.03 and 16,321.08

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Solution

The fourth proportional to 27,647.69, 38,145.03 and 16,321.08 is: 22,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.69 : 38,145.03 = 16,321.08 : x
  2. Step 2: Convert to fraction form
    27,647.69/38,145.03 = 16,321.08/x
  3. Step 3: Cross multiply
    27,647.69x = 38,145.03 × 16,321.08
  4. Step 4: Simplify right side
    27,647.69x = 622,568,086.23
  5. Step 5: Solve for x
    x = 622,568,086.23/27,647.69
  6. Step 6: Final answer
    x = 22,517.91

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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.