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Finding the Fourth Proportional to 12,626.38, 17,424.42 and 7,324.28

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Solution

The fourth proportional to 12,626.38, 17,424.42 and 7,324.28 is: 10,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,626.38 : 17,424.42 = 7,324.28 : x
  2. Step 2: Convert to fraction form
    12,626.38/17,424.42 = 7,324.28/x
  3. Step 3: Cross multiply
    12,626.38x = 17,424.42 × 7,324.28
  4. Step 4: Simplify right side
    12,626.38x = 127,621,330.92
  5. Step 5: Solve for x
    x = 127,621,330.92/12,626.38
  6. Step 6: Final answer
    x = 10,107.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.