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Finding the Fourth Proportional to 16,311.91, 24,469.62 and 5,214.64

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Solution

The fourth proportional to 16,311.91, 24,469.62 and 5,214.64 is: 7,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.91 : 24,469.62 = 5,214.64 : x
  2. Step 2: Convert to fraction form
    16,311.91/24,469.62 = 5,214.64/x
  3. Step 3: Cross multiply
    16,311.91x = 24,469.62 × 5,214.64
  4. Step 4: Simplify right side
    16,311.91x = 127,600,198.06
  5. Step 5: Solve for x
    x = 127,600,198.06/16,311.91
  6. Step 6: Final answer
    x = 7,822.52

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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.