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Finding the Fourth Proportional to 12,234.84, 18,344.70 and 8,327.40

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Solution

The fourth proportional to 12,234.84, 18,344.70 and 8,327.40 is: 12,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.84 : 18,344.70 = 8,327.40 : x
  2. Step 2: Convert to fraction form
    12,234.84/18,344.70 = 8,327.40/x
  3. Step 3: Cross multiply
    12,234.84x = 18,344.70 × 8,327.40
  4. Step 4: Simplify right side
    12,234.84x = 152,763,654.78
  5. Step 5: Solve for x
    x = 152,763,654.78/12,234.84
  6. Step 6: Final answer
    x = 12,485.95

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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.