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Finding the Fourth Proportional to 20,792.97, 31,189.59 and 8,314.04

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Solution

The fourth proportional to 20,792.97, 31,189.59 and 8,314.04 is: 12,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.97 : 31,189.59 = 8,314.04 : x
  2. Step 2: Convert to fraction form
    20,792.97/31,189.59 = 8,314.04/x
  3. Step 3: Cross multiply
    20,792.97x = 31,189.59 × 8,314.04
  4. Step 4: Simplify right side
    20,792.97x = 259,311,576.82
  5. Step 5: Solve for x
    x = 259,311,576.82/20,792.97
  6. Step 6: Final answer
    x = 12,471.12

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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.