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Finding the Fourth Proportional to 27,616.26, 38,103.82 and 16,284.88

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Solution

The fourth proportional to 27,616.26, 38,103.82 and 16,284.88 is: 22,469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,616.26 : 38,103.82 = 16,284.88 : x
  2. Step 2: Convert to fraction form
    27,616.26/38,103.82 = 16,284.88/x
  3. Step 3: Cross multiply
    27,616.26x = 38,103.82 × 16,284.88
  4. Step 4: Simplify right side
    27,616.26x = 620,516,136.24
  5. Step 5: Solve for x
    x = 620,516,136.24/27,616.26
  6. Step 6: Final answer
    x = 22,469.23

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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.