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Finding the Fourth Proportional to 16,082, 24,129.90 and 8,296.28

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Solution

The fourth proportional to 16,082, 24,129.90 and 8,296.28 is: 12,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082 : 24,129.90 = 8,296.28 : x
  2. Step 2: Convert to fraction form
    16,082/24,129.90 = 8,296.28/x
  3. Step 3: Cross multiply
    16,082x = 24,129.90 × 8,296.28
  4. Step 4: Simplify right side
    16,082x = 200,188,406.77
  5. Step 5: Solve for x
    x = 200,188,406.77/16,082
  6. Step 6: Final answer
    x = 12,447.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.