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Finding the Fourth Proportional to 13,455.66, 20,183.14 and 6,440.65

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Solution

The fourth proportional to 13,455.66, 20,183.14 and 6,440.65 is: 9,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.66 : 20,183.14 = 6,440.65 : x
  2. Step 2: Convert to fraction form
    13,455.66/20,183.14 = 6,440.65/x
  3. Step 3: Cross multiply
    13,455.66x = 20,183.14 × 6,440.65
  4. Step 4: Simplify right side
    13,455.66x = 129,992,540.64
  5. Step 5: Solve for x
    x = 129,992,540.64/13,455.66
  6. Step 6: Final answer
    x = 9,660.81

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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.