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Finding the Fourth Proportional to 12,406.24, 18,608.88 and 4,198.24

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Solution

The fourth proportional to 12,406.24, 18,608.88 and 4,198.24 is: 6,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.24 : 18,608.88 = 4,198.24 : x
  2. Step 2: Convert to fraction form
    12,406.24/18,608.88 = 4,198.24/x
  3. Step 3: Cross multiply
    12,406.24x = 18,608.88 × 4,198.24
  4. Step 4: Simplify right side
    12,406.24x = 78,124,544.37
  5. Step 5: Solve for x
    x = 78,124,544.37/12,406.24
  6. Step 6: Final answer
    x = 6,297.20

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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.