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Finding the Fourth Proportional to 20,952.87, 31,426.74 and 5,960.31

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Solution

The fourth proportional to 20,952.87, 31,426.74 and 5,960.31 is: 8,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.87 : 31,426.74 = 5,960.31 : x
  2. Step 2: Convert to fraction form
    20,952.87/31,426.74 = 5,960.31/x
  3. Step 3: Cross multiply
    20,952.87x = 31,426.74 × 5,960.31
  4. Step 4: Simplify right side
    20,952.87x = 187,313,112.69
  5. Step 5: Solve for x
    x = 187,313,112.69/20,952.87
  6. Step 6: Final answer
    x = 8,939.74

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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.