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Finding the Fourth Proportional to 12,424.62, 18,640.17 and 4,633.50

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Solution

The fourth proportional to 12,424.62, 18,640.17 and 4,633.50 is: 6,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.62 : 18,640.17 = 4,633.50 : x
  2. Step 2: Convert to fraction form
    12,424.62/18,640.17 = 4,633.50/x
  3. Step 3: Cross multiply
    12,424.62x = 18,640.17 × 4,633.50
  4. Step 4: Simplify right side
    12,424.62x = 86,369,227.70
  5. Step 5: Solve for x
    x = 86,369,227.70/12,424.62
  6. Step 6: Final answer
    x = 6,951.46

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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.