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Finding the Fourth Proportional to 20,797.70, 31,193.63 and 6,757.92

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Solution

The fourth proportional to 20,797.70, 31,193.63 and 6,757.92 is: 10,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.70 : 31,193.63 = 6,757.92 : x
  2. Step 2: Convert to fraction form
    20,797.70/31,193.63 = 6,757.92/x
  3. Step 3: Cross multiply
    20,797.70x = 31,193.63 × 6,757.92
  4. Step 4: Simplify right side
    20,797.70x = 210,804,056.05
  5. Step 5: Solve for x
    x = 210,804,056.05/20,797.70
  6. Step 6: Final answer
    x = 10,135.93

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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.