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Finding the Fourth Proportional to 13,474.25, 20,206.44 and 5,150.15

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Solution

The fourth proportional to 13,474.25, 20,206.44 and 5,150.15 is: 7,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.25 : 20,206.44 = 5,150.15 : x
  2. Step 2: Convert to fraction form
    13,474.25/20,206.44 = 5,150.15/x
  3. Step 3: Cross multiply
    13,474.25x = 20,206.44 × 5,150.15
  4. Step 4: Simplify right side
    13,474.25x = 104,066,095.93
  5. Step 5: Solve for x
    x = 104,066,095.93/13,474.25
  6. Step 6: Final answer
    x = 7,723.33

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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.