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Finding the Fourth Proportional to 12,643.70, 18,964.06 and 7,949.85

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Solution

The fourth proportional to 12,643.70, 18,964.06 and 7,949.85 is: 11,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.70 : 18,964.06 = 7,949.85 : x
  2. Step 2: Convert to fraction form
    12,643.70/18,964.06 = 7,949.85/x
  3. Step 3: Cross multiply
    12,643.70x = 18,964.06 × 7,949.85
  4. Step 4: Simplify right side
    12,643.70x = 150,761,432.39
  5. Step 5: Solve for x
    x = 150,761,432.39/12,643.70
  6. Step 6: Final answer
    x = 11,923.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.