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Finding the Fourth Proportional to 17,098.24, 25,650.24 and 7,864

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Solution

The fourth proportional to 17,098.24, 25,650.24 and 7,864 is: 11,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.24 : 25,650.24 = 7,864 : x
  2. Step 2: Convert to fraction form
    17,098.24/25,650.24 = 7,864/x
  3. Step 3: Cross multiply
    17,098.24x = 25,650.24 × 7,864
  4. Step 4: Simplify right side
    17,098.24x = 201,713,487.36
  5. Step 5: Solve for x
    x = 201,713,487.36/17,098.24
  6. Step 6: Final answer
    x = 11,797.32

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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.