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Finding the Fourth Proportional to 13,726.24, 18,942.22 and 7,438.64

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Solution

The fourth proportional to 13,726.24, 18,942.22 and 7,438.64 is: 10,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.24 : 18,942.22 = 7,438.64 : x
  2. Step 2: Convert to fraction form
    13,726.24/18,942.22 = 7,438.64/x
  3. Step 3: Cross multiply
    13,726.24x = 18,942.22 × 7,438.64
  4. Step 4: Simplify right side
    13,726.24x = 140,904,355.38
  5. Step 5: Solve for x
    x = 140,904,355.38/13,726.24
  6. Step 6: Final answer
    x = 10,265.33

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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.