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Finding the Fourth Proportional to 16,022.27, 24,033.78 and 5,492.20

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Solution

The fourth proportional to 16,022.27, 24,033.78 and 5,492.20 is: 8,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.27 : 24,033.78 = 5,492.20 : x
  2. Step 2: Convert to fraction form
    16,022.27/24,033.78 = 5,492.20/x
  3. Step 3: Cross multiply
    16,022.27x = 24,033.78 × 5,492.20
  4. Step 4: Simplify right side
    16,022.27x = 131,998,394.18
  5. Step 5: Solve for x
    x = 131,998,394.18/16,022.27
  6. Step 6: Final answer
    x = 8,238.43

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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.