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Finding the Fourth Proportional to 13,412.06, 20,198.42 and 12,214.98

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Solution

The fourth proportional to 13,412.06, 20,198.42 and 12,214.98 is: 18,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.06 : 20,198.42 = 12,214.98 : x
  2. Step 2: Convert to fraction form
    13,412.06/20,198.42 = 12,214.98/x
  3. Step 3: Cross multiply
    13,412.06x = 20,198.42 × 12,214.98
  4. Step 4: Simplify right side
    13,412.06x = 246,723,296.33
  5. Step 5: Solve for x
    x = 246,723,296.33/13,412.06
  6. Step 6: Final answer
    x = 18,395.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.