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Finding the Fourth Proportional to 12,161.64, 18,243.95 and 4,157.73

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Solution

The fourth proportional to 12,161.64, 18,243.95 and 4,157.73 is: 6,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.64 : 18,243.95 = 4,157.73 : x
  2. Step 2: Convert to fraction form
    12,161.64/18,243.95 = 4,157.73/x
  3. Step 3: Cross multiply
    12,161.64x = 18,243.95 × 4,157.73
  4. Step 4: Simplify right side
    12,161.64x = 75,853,327.01
  5. Step 5: Solve for x
    x = 75,853,327.01/12,161.64
  6. Step 6: Final answer
    x = 6,237.10

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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.