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Finding the Fourth Proportional to 12,316.96, 18,478.14 and 3,997.81

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Solution

The fourth proportional to 12,316.96, 18,478.14 and 3,997.81 is: 5,997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.96 : 18,478.14 = 3,997.81 : x
  2. Step 2: Convert to fraction form
    12,316.96/18,478.14 = 3,997.81/x
  3. Step 3: Cross multiply
    12,316.96x = 18,478.14 × 3,997.81
  4. Step 4: Simplify right side
    12,316.96x = 73,872,092.87
  5. Step 5: Solve for x
    x = 73,872,092.87/12,316.96
  6. Step 6: Final answer
    x = 5,997.59

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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.