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Finding the Fourth Proportional to 12,234.72, 18,334.06 and 5,472.10

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Solution

The fourth proportional to 12,234.72, 18,334.06 and 5,472.10 is: 8,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.72 : 18,334.06 = 5,472.10 : x
  2. Step 2: Convert to fraction form
    12,234.72/18,334.06 = 5,472.10/x
  3. Step 3: Cross multiply
    12,234.72x = 18,334.06 × 5,472.10
  4. Step 4: Simplify right side
    12,234.72x = 100,325,809.73
  5. Step 5: Solve for x
    x = 100,325,809.73/12,234.72
  6. Step 6: Final answer
    x = 8,200.09

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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.