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Finding the Fourth Proportional to 16,474.94, 24,713.57 and 5,380.82

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Solution

The fourth proportional to 16,474.94, 24,713.57 and 5,380.82 is: 8,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.94 : 24,713.57 = 5,380.82 : x
  2. Step 2: Convert to fraction form
    16,474.94/24,713.57 = 5,380.82/x
  3. Step 3: Cross multiply
    16,474.94x = 24,713.57 × 5,380.82
  4. Step 4: Simplify right side
    16,474.94x = 132,979,271.73
  5. Step 5: Solve for x
    x = 132,979,271.73/16,474.94
  6. Step 6: Final answer
    x = 8,071.61

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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.