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Finding the Fourth Proportional to 12,393.30, 18,589.92 and 5,819.46

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Solution

The fourth proportional to 12,393.30, 18,589.92 and 5,819.46 is: 8,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393.30 : 18,589.92 = 5,819.46 : x
  2. Step 2: Convert to fraction form
    12,393.30/18,589.92 = 5,819.46/x
  3. Step 3: Cross multiply
    12,393.30x = 18,589.92 × 5,819.46
  4. Step 4: Simplify right side
    12,393.30x = 108,183,295.84
  5. Step 5: Solve for x
    x = 108,183,295.84/12,393.30
  6. Step 6: Final answer
    x = 8,729.18

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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.