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Finding the Fourth Proportional to 27,559.92, 38,033.02 and 16,229.44

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Solution

The fourth proportional to 27,559.92, 38,033.02 and 16,229.44 is: 22,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,559.92 : 38,033.02 = 16,229.44 : x
  2. Step 2: Convert to fraction form
    27,559.92/38,033.02 = 16,229.44/x
  3. Step 3: Cross multiply
    27,559.92x = 38,033.02 × 16,229.44
  4. Step 4: Simplify right side
    27,559.92x = 617,254,616.11
  5. Step 5: Solve for x
    x = 617,254,616.11/27,559.92
  6. Step 6: Final answer
    x = 22,396.82

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Why These Related Problems?

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