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Finding the Fourth Proportional to 13,761.45, 18,993.83 and 9,046.17

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Solution

The fourth proportional to 13,761.45, 18,993.83 and 9,046.17 is: 12,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.45 : 18,993.83 = 9,046.17 : x
  2. Step 2: Convert to fraction form
    13,761.45/18,993.83 = 9,046.17/x
  3. Step 3: Cross multiply
    13,761.45x = 18,993.83 × 9,046.17
  4. Step 4: Simplify right side
    13,761.45x = 171,821,369.90
  5. Step 5: Solve for x
    x = 171,821,369.90/13,761.45
  6. Step 6: Final answer
    x = 12,485.70

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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.