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Finding the Fourth Proportional to 13,046.69, 19,571.12 and 4,163.30

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Solution

The fourth proportional to 13,046.69, 19,571.12 and 4,163.30 is: 6,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.69 : 19,571.12 = 4,163.30 : x
  2. Step 2: Convert to fraction form
    13,046.69/19,571.12 = 4,163.30/x
  3. Step 3: Cross multiply
    13,046.69x = 19,571.12 × 4,163.30
  4. Step 4: Simplify right side
    13,046.69x = 81,480,414.23
  5. Step 5: Solve for x
    x = 81,480,414.23/13,046.69
  6. Step 6: Final answer
    x = 6,245.30

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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.