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Finding the Fourth Proportional to 12,441.90, 18,662.45 and 4,122.30

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Solution

The fourth proportional to 12,441.90, 18,662.45 and 4,122.30 is: 6,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.90 : 18,662.45 = 4,122.30 : x
  2. Step 2: Convert to fraction form
    12,441.90/18,662.45 = 4,122.30/x
  3. Step 3: Cross multiply
    12,441.90x = 18,662.45 × 4,122.30
  4. Step 4: Simplify right side
    12,441.90x = 76,932,217.64
  5. Step 5: Solve for x
    x = 76,932,217.64/12,441.90
  6. Step 6: Final answer
    x = 6,183.32

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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.