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Finding the Fourth Proportional to 27,982.72, 38,616.72 and 16,046.56

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Solution

The fourth proportional to 27,982.72, 38,616.72 and 16,046.56 is: 22,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.72 : 38,616.72 = 16,046.56 : x
  2. Step 2: Convert to fraction form
    27,982.72/38,616.72 = 16,046.56/x
  3. Step 3: Cross multiply
    27,982.72x = 38,616.72 × 16,046.56
  4. Step 4: Simplify right side
    27,982.72x = 619,665,514.48
  5. Step 5: Solve for x
    x = 619,665,514.48/27,982.72
  6. Step 6: Final answer
    x = 22,144.58

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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.