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Finding the Fourth Proportional to 13,183.62, 19,782.74 and 5,397.90

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Solution

The fourth proportional to 13,183.62, 19,782.74 and 5,397.90 is: 8,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.62 : 19,782.74 = 5,397.90 : x
  2. Step 2: Convert to fraction form
    13,183.62/19,782.74 = 5,397.90/x
  3. Step 3: Cross multiply
    13,183.62x = 19,782.74 × 5,397.90
  4. Step 4: Simplify right side
    13,183.62x = 106,785,252.25
  5. Step 5: Solve for x
    x = 106,785,252.25/13,183.62
  6. Step 6: Final answer
    x = 8,099.84

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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.