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Finding the Fourth Proportional to 17,172, 25,754.96 and 7,809.82

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Solution

The fourth proportional to 17,172, 25,754.96 and 7,809.82 is: 11,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,172 : 25,754.96 = 7,809.82 : x
  2. Step 2: Convert to fraction form
    17,172/25,754.96 = 7,809.82/x
  3. Step 3: Cross multiply
    17,172x = 25,754.96 × 7,809.82
  4. Step 4: Simplify right side
    17,172x = 201,141,556.84
  5. Step 5: Solve for x
    x = 201,141,556.84/17,172
  6. Step 6: Final answer
    x = 11,713.34

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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.