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Finding the Fourth Proportional to 12,626.17, 17,424.18 and 7,324.12

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Solution

The fourth proportional to 12,626.17, 17,424.18 and 7,324.12 is: 10,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,626.17 : 17,424.18 = 7,324.12 : x
  2. Step 2: Convert to fraction form
    12,626.17/17,424.18 = 7,324.12/x
  3. Step 3: Cross multiply
    12,626.17x = 17,424.18 × 7,324.12
  4. Step 4: Simplify right side
    12,626.17x = 127,616,785.22
  5. Step 5: Solve for x
    x = 127,616,785.22/12,626.17
  6. Step 6: Final answer
    x = 10,107.32

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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.