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Finding the Fourth Proportional to 12,327.16, 18,493.17 and 4,006.64

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Solution

The fourth proportional to 12,327.16, 18,493.17 and 4,006.64 is: 6,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.16 : 18,493.17 = 4,006.64 : x
  2. Step 2: Convert to fraction form
    12,327.16/18,493.17 = 4,006.64/x
  3. Step 3: Cross multiply
    12,327.16x = 18,493.17 × 4,006.64
  4. Step 4: Simplify right side
    12,327.16x = 74,095,367.16
  5. Step 5: Solve for x
    x = 74,095,367.16/12,327.16
  6. Step 6: Final answer
    x = 6,010.74

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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.