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Finding the Fourth Proportional to 17,170.24, 25,747.42 and 7,809.88

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Solution

The fourth proportional to 17,170.24, 25,747.42 and 7,809.88 is: 11,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,170.24 : 25,747.42 = 7,809.88 : x
  2. Step 2: Convert to fraction form
    17,170.24/25,747.42 = 7,809.88/x
  3. Step 3: Cross multiply
    17,170.24x = 25,747.42 × 7,809.88
  4. Step 4: Simplify right side
    17,170.24x = 201,084,260.51
  5. Step 5: Solve for x
    x = 201,084,260.51/17,170.24
  6. Step 6: Final answer
    x = 11,711.21

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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.