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Finding the Fourth Proportional to 12,194.26, 18,294.08 and 3,874.76

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Solution

The fourth proportional to 12,194.26, 18,294.08 and 3,874.76 is: 5,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.26 : 18,294.08 = 3,874.76 : x
  2. Step 2: Convert to fraction form
    12,194.26/18,294.08 = 3,874.76/x
  3. Step 3: Cross multiply
    12,194.26x = 18,294.08 × 3,874.76
  4. Step 4: Simplify right side
    12,194.26x = 70,885,169.42
  5. Step 5: Solve for x
    x = 70,885,169.42/12,194.26
  6. Step 6: Final answer
    x = 5,812.99

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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.