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Finding the Fourth Proportional to 19,874.10, 29,811.09 and 5,082.99

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Solution

The fourth proportional to 19,874.10, 29,811.09 and 5,082.99 is: 7,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.10 : 29,811.09 = 5,082.99 : x
  2. Step 2: Convert to fraction form
    19,874.10/29,811.09 = 5,082.99/x
  3. Step 3: Cross multiply
    19,874.10x = 29,811.09 × 5,082.99
  4. Step 4: Simplify right side
    19,874.10x = 151,529,472.36
  5. Step 5: Solve for x
    x = 151,529,472.36/19,874.10
  6. Step 6: Final answer
    x = 7,624.47

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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.