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Finding the Fourth Proportional to 12,327.35, 18,481.59 and 4,002.30

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Solution

The fourth proportional to 12,327.35, 18,481.59 and 4,002.30 is: 6,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.35 : 18,481.59 = 4,002.30 : x
  2. Step 2: Convert to fraction form
    12,327.35/18,481.59 = 4,002.30/x
  3. Step 3: Cross multiply
    12,327.35x = 18,481.59 × 4,002.30
  4. Step 4: Simplify right side
    12,327.35x = 73,968,867.66
  5. Step 5: Solve for x
    x = 73,968,867.66/12,327.35
  6. Step 6: Final answer
    x = 6,000.39

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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.