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Finding the Fourth Proportional to 13,778.87, 18,996.72 and 9,947.27

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Solution

The fourth proportional to 13,778.87, 18,996.72 and 9,947.27 is: 13,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.87 : 18,996.72 = 9,947.27 : x
  2. Step 2: Convert to fraction form
    13,778.87/18,996.72 = 9,947.27/x
  3. Step 3: Cross multiply
    13,778.87x = 18,996.72 × 9,947.27
  4. Step 4: Simplify right side
    13,778.87x = 188,965,502.95
  5. Step 5: Solve for x
    x = 188,965,502.95/13,778.87
  6. Step 6: Final answer
    x = 13,714.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.