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Finding the Fourth Proportional to 17,309.52, 25,974 and 6,922.08

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Solution

The fourth proportional to 17,309.52, 25,974 and 6,922.08 is: 10,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,309.52 : 25,974 = 6,922.08 : x
  2. Step 2: Convert to fraction form
    17,309.52/25,974 = 6,922.08/x
  3. Step 3: Cross multiply
    17,309.52x = 25,974 × 6,922.08
  4. Step 4: Simplify right side
    17,309.52x = 179,794,105.92
  5. Step 5: Solve for x
    x = 179,794,105.92/17,309.52
  6. Step 6: Final answer
    x = 10,387.01

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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.