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Finding the Fourth Proportional to 13,761.80, 18,991.22 and 7,474.12

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Solution

The fourth proportional to 13,761.80, 18,991.22 and 7,474.12 is: 10,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.80 : 18,991.22 = 7,474.12 : x
  2. Step 2: Convert to fraction form
    13,761.80/18,991.22 = 7,474.12/x
  3. Step 3: Cross multiply
    13,761.80x = 18,991.22 × 7,474.12
  4. Step 4: Simplify right side
    13,761.80x = 141,942,657.23
  5. Step 5: Solve for x
    x = 141,942,657.23/13,761.80
  6. Step 6: Final answer
    x = 10,314.25

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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.