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Finding the Fourth Proportional to 13,749.37, 18,974.41 and 7,781.03

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Solution

The fourth proportional to 13,749.37, 18,974.41 and 7,781.03 is: 10,737.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.37 : 18,974.41 = 7,781.03 : x
  2. Step 2: Convert to fraction form
    13,749.37/18,974.41 = 7,781.03/x
  3. Step 3: Cross multiply
    13,749.37x = 18,974.41 × 7,781.03
  4. Step 4: Simplify right side
    13,749.37x = 147,640,546.18
  5. Step 5: Solve for x
    x = 147,640,546.18/13,749.37
  6. Step 6: Final answer
    x = 10,737.99

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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.