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Finding the Fourth Proportional to 22,221.50, 30,665.60 and 12,149.93

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Solution

The fourth proportional to 22,221.50, 30,665.60 and 12,149.93 is: 16,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,221.50 : 30,665.60 = 12,149.93 : x
  2. Step 2: Convert to fraction form
    22,221.50/30,665.60 = 12,149.93/x
  3. Step 3: Cross multiply
    22,221.50x = 30,665.60 × 12,149.93
  4. Step 4: Simplify right side
    22,221.50x = 372,584,679.33
  5. Step 5: Solve for x
    x = 372,584,679.33/22,221.50
  6. Step 6: Final answer
    x = 16,766.86

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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.