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Finding the Fourth Proportional to 12,219.75, 18,311.40 and 7,833.60

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Solution

The fourth proportional to 12,219.75, 18,311.40 and 7,833.60 is: 11,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.75 : 18,311.40 = 7,833.60 : x
  2. Step 2: Convert to fraction form
    12,219.75/18,311.40 = 7,833.60/x
  3. Step 3: Cross multiply
    12,219.75x = 18,311.40 × 7,833.60
  4. Step 4: Simplify right side
    12,219.75x = 143,444,183.04
  5. Step 5: Solve for x
    x = 143,444,183.04/12,219.75
  6. Step 6: Final answer
    x = 11,738.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.