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Finding the Fourth Proportional to 17,200.40, 25,797 and 6,107.44

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Solution

The fourth proportional to 17,200.40, 25,797 and 6,107.44 is: 9,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.40 : 25,797 = 6,107.44 : x
  2. Step 2: Convert to fraction form
    17,200.40/25,797 = 6,107.44/x
  3. Step 3: Cross multiply
    17,200.40x = 25,797 × 6,107.44
  4. Step 4: Simplify right side
    17,200.40x = 157,553,629.68
  5. Step 5: Solve for x
    x = 157,553,629.68/17,200.40
  6. Step 6: Final answer
    x = 9,159.88

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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.