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Finding the Fourth Proportional to 22,163.84, 30,586.24 and 12,227.84

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Solution

The fourth proportional to 22,163.84, 30,586.24 and 12,227.84 is: 16,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,163.84 : 30,586.24 = 12,227.84 : x
  2. Step 2: Convert to fraction form
    22,163.84/30,586.24 = 12,227.84/x
  3. Step 3: Cross multiply
    22,163.84x = 30,586.24 × 12,227.84
  4. Step 4: Simplify right side
    22,163.84x = 374,003,648.92
  5. Step 5: Solve for x
    x = 374,003,648.92/22,163.84
  6. Step 6: Final answer
    x = 16,874.50

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Double scale
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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.