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Finding the Fourth Proportional to 22,282.42, 33,424.62 and 12,414.22

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Solution

The fourth proportional to 22,282.42, 33,424.62 and 12,414.22 is: 18,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.42 : 33,424.62 = 12,414.22 : x
  2. Step 2: Convert to fraction form
    22,282.42/33,424.62 = 12,414.22/x
  3. Step 3: Cross multiply
    22,282.42x = 33,424.62 × 12,414.22
  4. Step 4: Simplify right side
    22,282.42x = 414,940,586.10
  5. Step 5: Solve for x
    x = 414,940,586.10/22,282.42
  6. Step 6: Final answer
    x = 18,621.88

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