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Finding the Fourth Proportional to 18,176.75, 25,074.19 and 12,198.14

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Solution

The fourth proportional to 18,176.75, 25,074.19 and 12,198.14 is: 16,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,176.75 : 25,074.19 = 12,198.14 : x
  2. Step 2: Convert to fraction form
    18,176.75/25,074.19 = 12,198.14/x
  3. Step 3: Cross multiply
    18,176.75x = 25,074.19 × 12,198.14
  4. Step 4: Simplify right side
    18,176.75x = 305,858,480.01
  5. Step 5: Solve for x
    x = 305,858,480.01/18,176.75
  6. Step 6: Final answer
    x = 16,826.91

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1.5x scale

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.