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Finding the Fourth Proportional to 13,906.14, 19,190.48 and 7,618.38

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Solution

The fourth proportional to 13,906.14, 19,190.48 and 7,618.38 is: 10,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.14 : 19,190.48 = 7,618.38 : x
  2. Step 2: Convert to fraction form
    13,906.14/19,190.48 = 7,618.38/x
  3. Step 3: Cross multiply
    13,906.14x = 19,190.48 × 7,618.38
  4. Step 4: Simplify right side
    13,906.14x = 146,200,369.02
  5. Step 5: Solve for x
    x = 146,200,369.02/13,906.14
  6. Step 6: Final answer
    x = 10,513.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.