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Finding the Fourth Proportional to 16,481.57, 24,719.63 and 5,949.57

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Solution

The fourth proportional to 16,481.57, 24,719.63 and 5,949.57 is: 8,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481.57 : 24,719.63 = 5,949.57 : x
  2. Step 2: Convert to fraction form
    16,481.57/24,719.63 = 5,949.57/x
  3. Step 3: Cross multiply
    16,481.57x = 24,719.63 × 5,949.57
  4. Step 4: Simplify right side
    16,481.57x = 147,071,201.11
  5. Step 5: Solve for x
    x = 147,071,201.11/16,481.57
  6. Step 6: Final answer
    x = 8,923.37

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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.