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Finding the Fourth Proportional to 22,270.67, 30,733.50 and 12,199.73

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Solution

The fourth proportional to 22,270.67, 30,733.50 and 12,199.73 is: 16,835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,270.67 : 30,733.50 = 12,199.73 : x
  2. Step 2: Convert to fraction form
    22,270.67/30,733.50 = 12,199.73/x
  3. Step 3: Cross multiply
    22,270.67x = 30,733.50 × 12,199.73
  4. Step 4: Simplify right side
    22,270.67x = 374,940,401.96
  5. Step 5: Solve for x
    x = 374,940,401.96/22,270.67
  6. Step 6: Final answer
    x = 16,835.61

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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.