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Finding the Fourth Proportional to 13,640.66, 20,452.25 and 6,521.96

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Solution

The fourth proportional to 13,640.66, 20,452.25 and 6,521.96 is: 9,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.66 : 20,452.25 = 6,521.96 : x
  2. Step 2: Convert to fraction form
    13,640.66/20,452.25 = 6,521.96/x
  3. Step 3: Cross multiply
    13,640.66x = 20,452.25 × 6,521.96
  4. Step 4: Simplify right side
    13,640.66x = 133,388,756.41
  5. Step 5: Solve for x
    x = 133,388,756.41/13,640.66
  6. Step 6: Final answer
    x = 9,778.76

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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.