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Finding the Fourth Proportional to 12,744.27, 19,116 and 5,247.54

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Solution

The fourth proportional to 12,744.27, 19,116 and 5,247.54 is: 7,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744.27 : 19,116 = 5,247.54 : x
  2. Step 2: Convert to fraction form
    12,744.27/19,116 = 5,247.54/x
  3. Step 3: Cross multiply
    12,744.27x = 19,116 × 5,247.54
  4. Step 4: Simplify right side
    12,744.27x = 100,311,974.64
  5. Step 5: Solve for x
    x = 100,311,974.64/12,744.27
  6. Step 6: Final answer
    x = 7,871.14

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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.