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Finding the Fourth Proportional to 16,471.44, 24,707.94 and 5,378.12

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Solution

The fourth proportional to 16,471.44, 24,707.94 and 5,378.12 is: 8,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.44 : 24,707.94 = 5,378.12 : x
  2. Step 2: Convert to fraction form
    16,471.44/24,707.94 = 5,378.12/x
  3. Step 3: Cross multiply
    16,471.44x = 24,707.94 × 5,378.12
  4. Step 4: Simplify right side
    16,471.44x = 132,882,266.27
  5. Step 5: Solve for x
    x = 132,882,266.27/16,471.44
  6. Step 6: Final answer
    x = 8,067.43

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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.