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Finding the Fourth Proportional to 20,773.67, 31,160.57 and 5,191.29

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Solution

The fourth proportional to 20,773.67, 31,160.57 and 5,191.29 is: 7,786.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773.67 : 31,160.57 = 5,191.29 : x
  2. Step 2: Convert to fraction form
    20,773.67/31,160.57 = 5,191.29/x
  3. Step 3: Cross multiply
    20,773.67x = 31,160.57 × 5,191.29
  4. Step 4: Simplify right side
    20,773.67x = 161,763,529.48
  5. Step 5: Solve for x
    x = 161,763,529.48/20,773.67
  6. Step 6: Final answer
    x = 7,786.95

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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.