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Finding the Fourth Proportional to 12,234.31, 18,351.47 and 3,000.31

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Solution

The fourth proportional to 12,234.31, 18,351.47 and 3,000.31 is: 4,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.31 : 18,351.47 = 3,000.31 : x
  2. Step 2: Convert to fraction form
    12,234.31/18,351.47 = 3,000.31/x
  3. Step 3: Cross multiply
    12,234.31x = 18,351.47 × 3,000.31
  4. Step 4: Simplify right side
    12,234.31x = 55,060,060.58
  5. Step 5: Solve for x
    x = 55,060,060.58/12,234.31
  6. Step 6: Final answer
    x = 4,500.46

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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.