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Finding the Fourth Proportional to 22,823.20, 34,183.74 and 13,194.28

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Solution

The fourth proportional to 22,823.20, 34,183.74 and 13,194.28 is: 19,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.20 : 34,183.74 = 13,194.28 : x
  2. Step 2: Convert to fraction form
    22,823.20/34,183.74 = 13,194.28/x
  3. Step 3: Cross multiply
    22,823.20x = 34,183.74 × 13,194.28
  4. Step 4: Simplify right side
    22,823.20x = 451,029,600.12
  5. Step 5: Solve for x
    x = 451,029,600.12/22,823.20
  6. Step 6: Final answer
    x = 19,761.90

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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.