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Finding the Fourth Proportional to 12,183.88, 18,238.56 and 7,805.56

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Solution

The fourth proportional to 12,183.88, 18,238.56 and 7,805.56 is: 11,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.88 : 18,238.56 = 7,805.56 : x
  2. Step 2: Convert to fraction form
    12,183.88/18,238.56 = 7,805.56/x
  3. Step 3: Cross multiply
    12,183.88x = 18,238.56 × 7,805.56
  4. Step 4: Simplify right side
    12,183.88x = 142,362,174.39
  5. Step 5: Solve for x
    x = 142,362,174.39/12,183.88
  6. Step 6: Final answer
    x = 11,684.47

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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.