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Finding the Fourth Proportional to 12,216.80, 18,328.19 and 3,896.82

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Solution

The fourth proportional to 12,216.80, 18,328.19 and 3,896.82 is: 5,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.80 : 18,328.19 = 3,896.82 : x
  2. Step 2: Convert to fraction form
    12,216.80/18,328.19 = 3,896.82/x
  3. Step 3: Cross multiply
    12,216.80x = 18,328.19 × 3,896.82
  4. Step 4: Simplify right side
    12,216.80x = 71,421,637.87
  5. Step 5: Solve for x
    x = 71,421,637.87/12,216.80
  6. Step 6: Final answer
    x = 5,846.18

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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.