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Finding the Fourth Proportional to 16,082, 24,081.08 and 12,944.87

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Solution

The fourth proportional to 16,082, 24,081.08 and 12,944.87 is: 19,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082 : 24,081.08 = 12,944.87 : x
  2. Step 2: Convert to fraction form
    16,082/24,081.08 = 12,944.87/x
  3. Step 3: Cross multiply
    16,082x = 24,081.08 × 12,944.87
  4. Step 4: Simplify right side
    16,082x = 311,726,450.06
  5. Step 5: Solve for x
    x = 311,726,450.06/16,082
  6. Step 6: Final answer
    x = 19,383.56

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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.