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Finding the Fourth Proportional to 13,906.17, 19,190.12 and 7,618.41

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Solution

The fourth proportional to 13,906.17, 19,190.12 and 7,618.41 is: 10,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.17 : 19,190.12 = 7,618.41 : x
  2. Step 2: Convert to fraction form
    13,906.17/19,190.12 = 7,618.41/x
  3. Step 3: Cross multiply
    13,906.17x = 19,190.12 × 7,618.41
  4. Step 4: Simplify right side
    13,906.17x = 146,198,164.02
  5. Step 5: Solve for x
    x = 146,198,164.02/13,906.17
  6. Step 6: Final answer
    x = 10,513.19

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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.