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Finding the Fourth Proportional to 12,327.72, 18,451.08 and 11,146.20

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Solution

The fourth proportional to 12,327.72, 18,451.08 and 11,146.20 is: 16,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.72 : 18,451.08 = 11,146.20 : x
  2. Step 2: Convert to fraction form
    12,327.72/18,451.08 = 11,146.20/x
  3. Step 3: Cross multiply
    12,327.72x = 18,451.08 × 11,146.20
  4. Step 4: Simplify right side
    12,327.72x = 205,659,427.90
  5. Step 5: Solve for x
    x = 205,659,427.90/12,327.72
  6. Step 6: Final answer
    x = 16,682.68

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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.