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Finding the Fourth Proportional to 13,229.83, 19,850.81 and 5,735.67

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Solution

The fourth proportional to 13,229.83, 19,850.81 and 5,735.67 is: 8,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.83 : 19,850.81 = 5,735.67 : x
  2. Step 2: Convert to fraction form
    13,229.83/19,850.81 = 5,735.67/x
  3. Step 3: Cross multiply
    13,229.83x = 19,850.81 × 5,735.67
  4. Step 4: Simplify right side
    13,229.83x = 113,857,709.73
  5. Step 5: Solve for x
    x = 113,857,709.73/13,229.83
  6. Step 6: Final answer
    x = 8,606.14

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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.