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Finding the Fourth Proportional to 27,979.97, 38,616.05 and 16,041

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Solution

The fourth proportional to 27,979.97, 38,616.05 and 16,041 is: 22,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,979.97 : 38,616.05 = 16,041 : x
  2. Step 2: Convert to fraction form
    27,979.97/38,616.05 = 16,041/x
  3. Step 3: Cross multiply
    27,979.97x = 38,616.05 × 16,041
  4. Step 4: Simplify right side
    27,979.97x = 619,440,058.05
  5. Step 5: Solve for x
    x = 619,440,058.05/27,979.97
  6. Step 6: Final answer
    x = 22,138.70

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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.