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Finding the Fourth Proportional to 17,022.50, 25,538.07 and 6,496.82

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Solution

The fourth proportional to 17,022.50, 25,538.07 and 6,496.82 is: 9,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,022.50 : 25,538.07 = 6,496.82 : x
  2. Step 2: Convert to fraction form
    17,022.50/25,538.07 = 6,496.82/x
  3. Step 3: Cross multiply
    17,022.50x = 25,538.07 × 6,496.82
  4. Step 4: Simplify right side
    17,022.50x = 165,916,243.94
  5. Step 5: Solve for x
    x = 165,916,243.94/17,022.50
  6. Step 6: Final answer
    x = 9,746.88

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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.