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Finding the Fourth Proportional to 22,183.25, 30,611.50 and 12,109.64

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Solution

The fourth proportional to 22,183.25, 30,611.50 and 12,109.64 is: 16,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,183.25 : 30,611.50 = 12,109.64 : x
  2. Step 2: Convert to fraction form
    22,183.25/30,611.50 = 12,109.64/x
  3. Step 3: Cross multiply
    22,183.25x = 30,611.50 × 12,109.64
  4. Step 4: Simplify right side
    22,183.25x = 370,694,061.53
  5. Step 5: Solve for x
    x = 370,694,061.53/22,183.25
  6. Step 6: Final answer
    x = 16,710.54

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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.