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Finding the Fourth Proportional to 16,414.58, 24,616.71 and 5,318.73

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Solution

The fourth proportional to 16,414.58, 24,616.71 and 5,318.73 is: 7,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.58 : 24,616.71 = 5,318.73 : x
  2. Step 2: Convert to fraction form
    16,414.58/24,616.71 = 5,318.73/x
  3. Step 3: Cross multiply
    16,414.58x = 24,616.71 × 5,318.73
  4. Step 4: Simplify right side
    16,414.58x = 130,929,633.98
  5. Step 5: Solve for x
    x = 130,929,633.98/16,414.58
  6. Step 6: Final answer
    x = 7,976.42

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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.