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Finding the Fourth Proportional to 13,792.71, 20,694.60 and 6,299.82

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Solution

The fourth proportional to 13,792.71, 20,694.60 and 6,299.82 is: 9,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.71 : 20,694.60 = 6,299.82 : x
  2. Step 2: Convert to fraction form
    13,792.71/20,694.60 = 6,299.82/x
  3. Step 3: Cross multiply
    13,792.71x = 20,694.60 × 6,299.82
  4. Step 4: Simplify right side
    13,792.71x = 130,372,254.97
  5. Step 5: Solve for x
    x = 130,372,254.97/13,792.71
  6. Step 6: Final answer
    x = 9,452.26

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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.