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Finding the Fourth Proportional to 13,906.14, 19,190.96 and 7,618.51

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Solution

The fourth proportional to 13,906.14, 19,190.96 and 7,618.51 is: 10,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.14 : 19,190.96 = 7,618.51 : x
  2. Step 2: Convert to fraction form
    13,906.14/19,190.96 = 7,618.51/x
  3. Step 3: Cross multiply
    13,906.14x = 19,190.96 × 7,618.51
  4. Step 4: Simplify right side
    13,906.14x = 146,206,520.67
  5. Step 5: Solve for x
    x = 146,206,520.67/13,906.14
  6. Step 6: Final answer
    x = 10,513.81

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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.