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Finding the Fourth Proportional to 22,162, 30,583.56 and 12,226

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Solution

The fourth proportional to 22,162, 30,583.56 and 12,226 is: 16,871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162 : 30,583.56 = 12,226 : x
  2. Step 2: Convert to fraction form
    22,162/30,583.56 = 12,226/x
  3. Step 3: Cross multiply
    22,162x = 30,583.56 × 12,226
  4. Step 4: Simplify right side
    22,162x = 373,914,604.56
  5. Step 5: Solve for x
    x = 373,914,604.56/22,162
  6. Step 6: Final answer
    x = 16,871.88

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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.