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Finding the Fourth Proportional to 12,172.41, 18,255.83 and 3,408.21

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Solution

The fourth proportional to 12,172.41, 18,255.83 and 3,408.21 is: 5,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.41 : 18,255.83 = 3,408.21 : x
  2. Step 2: Convert to fraction form
    12,172.41/18,255.83 = 3,408.21/x
  3. Step 3: Cross multiply
    12,172.41x = 18,255.83 × 3,408.21
  4. Step 4: Simplify right side
    12,172.41x = 62,219,685.32
  5. Step 5: Solve for x
    x = 62,219,685.32/12,172.41
  6. Step 6: Final answer
    x = 5,111.53

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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.