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Finding the Fourth Proportional to 13,761.97, 18,991.62 and 7,474.35

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Solution

The fourth proportional to 13,761.97, 18,991.62 and 7,474.35 is: 10,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.97 : 18,991.62 = 7,474.35 : x
  2. Step 2: Convert to fraction form
    13,761.97/18,991.62 = 7,474.35/x
  3. Step 3: Cross multiply
    13,761.97x = 18,991.62 × 7,474.35
  4. Step 4: Simplify right side
    13,761.97x = 141,950,007.65
  5. Step 5: Solve for x
    x = 141,950,007.65/13,761.97
  6. Step 6: Final answer
    x = 10,314.65

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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.