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Finding the Fourth Proportional to 12,324.37, 18,498.89 and 5,755.18

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Solution

The fourth proportional to 12,324.37, 18,498.89 and 5,755.18 is: 8,638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.37 : 18,498.89 = 5,755.18 : x
  2. Step 2: Convert to fraction form
    12,324.37/18,498.89 = 5,755.18/x
  3. Step 3: Cross multiply
    12,324.37x = 18,498.89 × 5,755.18
  4. Step 4: Simplify right side
    12,324.37x = 106,464,441.75
  5. Step 5: Solve for x
    x = 106,464,441.75/12,324.37
  6. Step 6: Final answer
    x = 8,638.53

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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.