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Finding the Fourth Proportional to 22,270.36, 30,732.74 and 12,198.74

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Solution

The fourth proportional to 22,270.36, 30,732.74 and 12,198.74 is: 16,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.36 : 30,732.74 = 12,198.74 : x
  2. Step 2: Convert to fraction form
    22,270.36/30,732.74 = 12,198.74/x
  3. Step 3: Cross multiply
    22,270.36x = 30,732.74 × 12,198.74
  4. Step 4: Simplify right side
    22,270.36x = 374,900,704.75
  5. Step 5: Solve for x
    x = 374,900,704.75/22,270.36
  6. Step 6: Final answer
    x = 16,834.07

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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.