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Finding the Fourth Proportional to 17,242.74, 25,843.20 and 7,869.91

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Solution

The fourth proportional to 17,242.74, 25,843.20 and 7,869.91 is: 11,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242.74 : 25,843.20 = 7,869.91 : x
  2. Step 2: Convert to fraction form
    17,242.74/25,843.20 = 7,869.91/x
  3. Step 3: Cross multiply
    17,242.74x = 25,843.20 × 7,869.91
  4. Step 4: Simplify right side
    17,242.74x = 203,383,658.11
  5. Step 5: Solve for x
    x = 203,383,658.11/17,242.74
  6. Step 6: Final answer
    x = 11,795.32

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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.