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Finding the Fourth Proportional to 12,371.75, 18,557.67 and 4,163.75

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Solution

The fourth proportional to 12,371.75, 18,557.67 and 4,163.75 is: 6,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.75 : 18,557.67 = 4,163.75 : x
  2. Step 2: Convert to fraction form
    12,371.75/18,557.67 = 4,163.75/x
  3. Step 3: Cross multiply
    12,371.75x = 18,557.67 × 4,163.75
  4. Step 4: Simplify right side
    12,371.75x = 77,269,498.46
  5. Step 5: Solve for x
    x = 77,269,498.46/12,371.75
  6. Step 6: Final answer
    x = 6,245.64

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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.