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Finding the Fourth Proportional to 12,344.85, 18,523.17 and 5,770.08

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Solution

The fourth proportional to 12,344.85, 18,523.17 and 5,770.08 is: 8,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344.85 : 18,523.17 = 5,770.08 : x
  2. Step 2: Convert to fraction form
    12,344.85/18,523.17 = 5,770.08/x
  3. Step 3: Cross multiply
    12,344.85x = 18,523.17 × 5,770.08
  4. Step 4: Simplify right side
    12,344.85x = 106,880,172.75
  5. Step 5: Solve for x
    x = 106,880,172.75/12,344.85
  6. Step 6: Final answer
    x = 8,657.88

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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.