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Finding the Fourth Proportional to 12,427.44, 18,604.17 and 8,252.97

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Solution

The fourth proportional to 12,427.44, 18,604.17 and 8,252.97 is: 12,354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.44 : 18,604.17 = 8,252.97 : x
  2. Step 2: Convert to fraction form
    12,427.44/18,604.17 = 8,252.97/x
  3. Step 3: Cross multiply
    12,427.44x = 18,604.17 × 8,252.97
  4. Step 4: Simplify right side
    12,427.44x = 153,539,656.88
  5. Step 5: Solve for x
    x = 153,539,656.88/12,427.44
  6. Step 6: Final answer
    x = 12,354.89

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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.