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Finding the Fourth Proportional to 12,232.54, 18,343.41 and 5,215.78

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Solution

The fourth proportional to 12,232.54, 18,343.41 and 5,215.78 is: 7,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,232.54 : 18,343.41 = 5,215.78 : x
  2. Step 2: Convert to fraction form
    12,232.54/18,343.41 = 5,215.78/x
  3. Step 3: Cross multiply
    12,232.54x = 18,343.41 × 5,215.78
  4. Step 4: Simplify right side
    12,232.54x = 95,675,191.01
  5. Step 5: Solve for x
    x = 95,675,191.01/12,232.54
  6. Step 6: Final answer
    x = 7,821.37

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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.