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Finding the Fourth Proportional to 12,640.92, 18,966.30 and 5,243.50

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Solution

The fourth proportional to 12,640.92, 18,966.30 and 5,243.50 is: 7,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.92 : 18,966.30 = 5,243.50 : x
  2. Step 2: Convert to fraction form
    12,640.92/18,966.30 = 5,243.50/x
  3. Step 3: Cross multiply
    12,640.92x = 18,966.30 × 5,243.50
  4. Step 4: Simplify right side
    12,640.92x = 99,449,794.05
  5. Step 5: Solve for x
    x = 99,449,794.05/12,640.92
  6. Step 6: Final answer
    x = 7,867.29

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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.