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Finding the Fourth Proportional to 12,217.98, 18,325.68 and 8,294.46

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Solution

The fourth proportional to 12,217.98, 18,325.68 and 8,294.46 is: 12,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.98 : 18,325.68 = 8,294.46 : x
  2. Step 2: Convert to fraction form
    12,217.98/18,325.68 = 8,294.46/x
  3. Step 3: Cross multiply
    12,217.98x = 18,325.68 × 8,294.46
  4. Step 4: Simplify right side
    12,217.98x = 152,001,619.73
  5. Step 5: Solve for x
    x = 152,001,619.73/12,217.98
  6. Step 6: Final answer
    x = 12,440.81

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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.