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Finding the Fourth Proportional to 12,319.16, 18,481.94 and 3,999.16

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Solution

The fourth proportional to 12,319.16, 18,481.94 and 3,999.16 is: 5,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.16 : 18,481.94 = 3,999.16 : x
  2. Step 2: Convert to fraction form
    12,319.16/18,481.94 = 3,999.16/x
  3. Step 3: Cross multiply
    12,319.16x = 18,481.94 × 3,999.16
  4. Step 4: Simplify right side
    12,319.16x = 73,912,235.17
  5. Step 5: Solve for x
    x = 73,912,235.17/12,319.16
  6. Step 6: Final answer
    x = 5,999.78

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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.