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Finding the Fourth Proportional to 22,187.70, 33,198.12 and 12,334.14

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Solution

The fourth proportional to 22,187.70, 33,198.12 and 12,334.14 is: 18,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,187.70 : 33,198.12 = 12,334.14 : x
  2. Step 2: Convert to fraction form
    22,187.70/33,198.12 = 12,334.14/x
  3. Step 3: Cross multiply
    22,187.70x = 33,198.12 × 12,334.14
  4. Step 4: Simplify right side
    22,187.70x = 409,470,259.82
  5. Step 5: Solve for x
    x = 409,470,259.82/22,187.70
  6. Step 6: Final answer
    x = 18,454.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.