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Finding the Fourth Proportional to 13,914.24, 19,201.92 and 7,626.24

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Solution

The fourth proportional to 13,914.24, 19,201.92 and 7,626.24 is: 10,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.24 : 19,201.92 = 7,626.24 : x
  2. Step 2: Convert to fraction form
    13,914.24/19,201.92 = 7,626.24/x
  3. Step 3: Cross multiply
    13,914.24x = 19,201.92 × 7,626.24
  4. Step 4: Simplify right side
    13,914.24x = 146,438,450.38
  5. Step 5: Solve for x
    x = 146,438,450.38/13,914.24
  6. Step 6: Final answer
    x = 10,524.36

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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.