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Finding the Fourth Proportional to 15,732.99, 23,614.07 and 7,947.27

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Solution

The fourth proportional to 15,732.99, 23,614.07 and 7,947.27 is: 11,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.99 : 23,614.07 = 7,947.27 : x
  2. Step 2: Convert to fraction form
    15,732.99/23,614.07 = 7,947.27/x
  3. Step 3: Cross multiply
    15,732.99x = 23,614.07 × 7,947.27
  4. Step 4: Simplify right side
    15,732.99x = 187,667,350.35
  5. Step 5: Solve for x
    x = 187,667,350.35/15,732.99
  6. Step 6: Final answer
    x = 11,928.27

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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.