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Finding the Fourth Proportional to 16,617.57, 24,917 and 5,518.31

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Solution

The fourth proportional to 16,617.57, 24,917 and 5,518.31 is: 8,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617.57 : 24,917 = 5,518.31 : x
  2. Step 2: Convert to fraction form
    16,617.57/24,917 = 5,518.31/x
  3. Step 3: Cross multiply
    16,617.57x = 24,917 × 5,518.31
  4. Step 4: Simplify right side
    16,617.57x = 137,499,730.27
  5. Step 5: Solve for x
    x = 137,499,730.27/16,617.57
  6. Step 6: Final answer
    x = 8,274.36

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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.