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Finding the Fourth Proportional to 22,221.36, 30,665.27 and 12,149.70

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Solution

The fourth proportional to 22,221.36, 30,665.27 and 12,149.70 is: 16,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,221.36 : 30,665.27 = 12,149.70 : x
  2. Step 2: Convert to fraction form
    22,221.36/30,665.27 = 12,149.70/x
  3. Step 3: Cross multiply
    22,221.36x = 30,665.27 × 12,149.70
  4. Step 4: Simplify right side
    22,221.36x = 372,573,729.21
  5. Step 5: Solve for x
    x = 372,573,729.21/22,221.36
  6. Step 6: Final answer
    x = 16,766.47

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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.