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Finding the Fourth Proportional to 12,641.71, 18,961.27 and 7,947.49

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Solution

The fourth proportional to 12,641.71, 18,961.27 and 7,947.49 is: 11,920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.71 : 18,961.27 = 7,947.49 : x
  2. Step 2: Convert to fraction form
    12,641.71/18,961.27 = 7,947.49/x
  3. Step 3: Cross multiply
    12,641.71x = 18,961.27 × 7,947.49
  4. Step 4: Simplify right side
    12,641.71x = 150,694,451.34
  5. Step 5: Solve for x
    x = 150,694,451.34/12,641.71
  6. Step 6: Final answer
    x = 11,920.41

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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.