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Finding the Fourth Proportional to 13,717.69, 20,576.84 and 9,496.78

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Solution

The fourth proportional to 13,717.69, 20,576.84 and 9,496.78 is: 14,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.69 : 20,576.84 = 9,496.78 : x
  2. Step 2: Convert to fraction form
    13,717.69/20,576.84 = 9,496.78/x
  3. Step 3: Cross multiply
    13,717.69x = 20,576.84 × 9,496.78
  4. Step 4: Simplify right side
    13,717.69x = 195,413,623.65
  5. Step 5: Solve for x
    x = 195,413,623.65/13,717.69
  6. Step 6: Final answer
    x = 14,245.38

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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.