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Finding the Fourth Proportional to 12,327.25, 18,466.54 and 8,154.64

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Solution

The fourth proportional to 12,327.25, 18,466.54 and 8,154.64 is: 12,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.25 : 18,466.54 = 8,154.64 : x
  2. Step 2: Convert to fraction form
    12,327.25/18,466.54 = 8,154.64/x
  3. Step 3: Cross multiply
    12,327.25x = 18,466.54 × 8,154.64
  4. Step 4: Simplify right side
    12,327.25x = 150,587,985.75
  5. Step 5: Solve for x
    x = 150,587,985.75/12,327.25
  6. Step 6: Final answer
    x = 12,215.86

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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.