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Finding the Fourth Proportional to 13,294.77, 19,942.22 and 3,433.37

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Solution

The fourth proportional to 13,294.77, 19,942.22 and 3,433.37 is: 5,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.77 : 19,942.22 = 3,433.37 : x
  2. Step 2: Convert to fraction form
    13,294.77/19,942.22 = 3,433.37/x
  3. Step 3: Cross multiply
    13,294.77x = 19,942.22 × 3,433.37
  4. Step 4: Simplify right side
    13,294.77x = 68,469,019.88
  5. Step 5: Solve for x
    x = 68,469,019.88/13,294.77
  6. Step 6: Final answer
    x = 5,150.07

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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.