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Finding the Fourth Proportional to 13,717.76, 20,576.23 and 5,391.77

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Solution

The fourth proportional to 13,717.76, 20,576.23 and 5,391.77 is: 8,087.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.76 : 20,576.23 = 5,391.77 : x
  2. Step 2: Convert to fraction form
    13,717.76/20,576.23 = 5,391.77/x
  3. Step 3: Cross multiply
    13,717.76x = 20,576.23 × 5,391.77
  4. Step 4: Simplify right side
    13,717.76x = 110,942,183.27
  5. Step 5: Solve for x
    x = 110,942,183.27/13,717.76
  6. Step 6: Final answer
    x = 8,087.49

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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.