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Finding the Fourth Proportional to 22,270.50, 30,732.75 and 12,199.37

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Solution

The fourth proportional to 22,270.50, 30,732.75 and 12,199.37 is: 16,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.50 : 30,732.75 = 12,199.37 : x
  2. Step 2: Convert to fraction form
    22,270.50/30,732.75 = 12,199.37/x
  3. Step 3: Cross multiply
    22,270.50x = 30,732.75 × 12,199.37
  4. Step 4: Simplify right side
    22,270.50x = 374,920,034.70
  5. Step 5: Solve for x
    x = 374,920,034.70/22,270.50
  6. Step 6: Final answer
    x = 16,834.83

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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.