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Finding the Fourth Proportional to 12,463.98, 17,188.38 and 9,626.82

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Solution

The fourth proportional to 12,463.98, 17,188.38 and 9,626.82 is: 13,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.98 : 17,188.38 = 9,626.82 : x
  2. Step 2: Convert to fraction form
    12,463.98/17,188.38 = 9,626.82/x
  3. Step 3: Cross multiply
    12,463.98x = 17,188.38 × 9,626.82
  4. Step 4: Simplify right side
    12,463.98x = 165,469,440.35
  5. Step 5: Solve for x
    x = 165,469,440.35/12,463.98
  6. Step 6: Final answer
    x = 13,275.81

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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.