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Finding the Fourth Proportional to 27,617.98, 38,117.76 and 16,286.80

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Solution

The fourth proportional to 27,617.98, 38,117.76 and 16,286.80 is: 22,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.98 : 38,117.76 = 16,286.80 : x
  2. Step 2: Convert to fraction form
    27,617.98/38,117.76 = 16,286.80/x
  3. Step 3: Cross multiply
    27,617.98x = 38,117.76 × 16,286.80
  4. Step 4: Simplify right side
    27,617.98x = 620,816,333.57
  5. Step 5: Solve for x
    x = 620,816,333.57/27,617.98
  6. Step 6: Final answer
    x = 22,478.70

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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.