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Finding the Fourth Proportional to 19,947.28, 29,903.64 and 11,722

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Solution

The fourth proportional to 19,947.28, 29,903.64 and 11,722 is: 17,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,947.28 : 29,903.64 = 11,722 : x
  2. Step 2: Convert to fraction form
    19,947.28/29,903.64 = 11,722/x
  3. Step 3: Cross multiply
    19,947.28x = 29,903.64 × 11,722
  4. Step 4: Simplify right side
    19,947.28x = 350,530,468.08
  5. Step 5: Solve for x
    x = 350,530,468.08/19,947.28
  6. Step 6: Final answer
    x = 17,572.85

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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.