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Finding the Fourth Proportional to 16,231.27, 24,351.21 and 5,138.14

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Solution

The fourth proportional to 16,231.27, 24,351.21 and 5,138.14 is: 7,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.27 : 24,351.21 = 5,138.14 : x
  2. Step 2: Convert to fraction form
    16,231.27/24,351.21 = 5,138.14/x
  3. Step 3: Cross multiply
    16,231.27x = 24,351.21 × 5,138.14
  4. Step 4: Simplify right side
    16,231.27x = 125,119,926.15
  5. Step 5: Solve for x
    x = 125,119,926.15/16,231.27
  6. Step 6: Final answer
    x = 7,708.57

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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.