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Finding the Fourth Proportional to 13,761.63, 18,991.04 and 8,172.63

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Solution

The fourth proportional to 13,761.63, 18,991.04 and 8,172.63 is: 11,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.63 : 18,991.04 = 8,172.63 : x
  2. Step 2: Convert to fraction form
    13,761.63/18,991.04 = 8,172.63/x
  3. Step 3: Cross multiply
    13,761.63x = 18,991.04 × 8,172.63
  4. Step 4: Simplify right side
    13,761.63x = 155,206,743.24
  5. Step 5: Solve for x
    x = 155,206,743.24/13,761.63
  6. Step 6: Final answer
    x = 11,278.22

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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.