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Finding the Fourth Proportional to 11,817.99, 17,731.04 and 4,032.27

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Solution

The fourth proportional to 11,817.99, 17,731.04 and 4,032.27 is: 6,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.99 : 17,731.04 = 4,032.27 : x
  2. Step 2: Convert to fraction form
    11,817.99/17,731.04 = 4,032.27/x
  3. Step 3: Cross multiply
    11,817.99x = 17,731.04 × 4,032.27
  4. Step 4: Simplify right side
    11,817.99x = 71,496,320.50
  5. Step 5: Solve for x
    x = 71,496,320.50/11,817.99
  6. Step 6: Final answer
    x = 6,049.79

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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.