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Finding the Fourth Proportional to 22,138.24, 30,550.32 and 12,202.24

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Solution

The fourth proportional to 22,138.24, 30,550.32 and 12,202.24 is: 16,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.24 : 30,550.32 = 12,202.24 : x
  2. Step 2: Convert to fraction form
    22,138.24/30,550.32 = 12,202.24/x
  3. Step 3: Cross multiply
    22,138.24x = 30,550.32 × 12,202.24
  4. Step 4: Simplify right side
    22,138.24x = 372,782,336.72
  5. Step 5: Solve for x
    x = 372,782,336.72/22,138.24
  6. Step 6: Final answer
    x = 16,838.84

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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.