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Finding the Fourth Proportional to 12,149.44, 18,236.48 and 8,200.32

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Solution

The fourth proportional to 12,149.44, 18,236.48 and 8,200.32 is: 12,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.44 : 18,236.48 = 8,200.32 : x
  2. Step 2: Convert to fraction form
    12,149.44/18,236.48 = 8,200.32/x
  3. Step 3: Cross multiply
    12,149.44x = 18,236.48 × 8,200.32
  4. Step 4: Simplify right side
    12,149.44x = 149,544,971.67
  5. Step 5: Solve for x
    x = 149,544,971.67/12,149.44
  6. Step 6: Final answer
    x = 12,308.80

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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.