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Finding the Fourth Proportional to 12,233.68, 18,347.94 and 3,466.24

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Solution

The fourth proportional to 12,233.68, 18,347.94 and 3,466.24 is: 5,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.68 : 18,347.94 = 3,466.24 : x
  2. Step 2: Convert to fraction form
    12,233.68/18,347.94 = 3,466.24/x
  3. Step 3: Cross multiply
    12,233.68x = 18,347.94 × 3,466.24
  4. Step 4: Simplify right side
    12,233.68x = 63,598,363.55
  5. Step 5: Solve for x
    x = 63,598,363.55/12,233.68
  6. Step 6: Final answer
    x = 5,198.63

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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.