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Finding the Fourth Proportional to 22,297.24, 30,770.07 and 12,226.11

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Solution

The fourth proportional to 22,297.24, 30,770.07 and 12,226.11 is: 16,871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.24 : 30,770.07 = 12,226.11 : x
  2. Step 2: Convert to fraction form
    22,297.24/30,770.07 = 12,226.11/x
  3. Step 3: Cross multiply
    22,297.24x = 30,770.07 × 12,226.11
  4. Step 4: Simplify right side
    22,297.24x = 376,198,045.55
  5. Step 5: Solve for x
    x = 376,198,045.55/22,297.24
  6. Step 6: Final answer
    x = 16,871.96

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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.