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Finding the Fourth Proportional to 12,882.24, 17,771.04 and 8,159.04

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Solution

The fourth proportional to 12,882.24, 17,771.04 and 8,159.04 is: 11,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.24 : 17,771.04 = 8,159.04 : x
  2. Step 2: Convert to fraction form
    12,882.24/17,771.04 = 8,159.04/x
  3. Step 3: Cross multiply
    12,882.24x = 17,771.04 × 8,159.04
  4. Step 4: Simplify right side
    12,882.24x = 144,994,626.20
  5. Step 5: Solve for x
    x = 144,994,626.20/12,882.24
  6. Step 6: Final answer
    x = 11,255.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.