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Finding the Fourth Proportional to 12,233.70, 18,338.40 and 5,648.40

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Solution

The fourth proportional to 12,233.70, 18,338.40 and 5,648.40 is: 8,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.70 : 18,338.40 = 5,648.40 : x
  2. Step 2: Convert to fraction form
    12,233.70/18,338.40 = 5,648.40/x
  3. Step 3: Cross multiply
    12,233.70x = 18,338.40 × 5,648.40
  4. Step 4: Simplify right side
    12,233.70x = 103,582,618.56
  5. Step 5: Solve for x
    x = 103,582,618.56/12,233.70
  6. Step 6: Final answer
    x = 8,466.99

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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.