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Finding the Fourth Proportional to 27,982.92, 38,619.77 and 16,046.22

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Solution

The fourth proportional to 27,982.92, 38,619.77 and 16,046.22 is: 22,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.92 : 38,619.77 = 16,046.22 : x
  2. Step 2: Convert to fraction form
    27,982.92/38,619.77 = 16,046.22/x
  3. Step 3: Cross multiply
    27,982.92x = 38,619.77 × 16,046.22
  4. Step 4: Simplify right side
    27,982.92x = 619,701,245.54
  5. Step 5: Solve for x
    x = 619,701,245.54/27,982.92
  6. Step 6: Final answer
    x = 22,145.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.