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Finding the Fourth Proportional to 13,726.28, 18,942.36 and 7,438.76

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Solution

The fourth proportional to 13,726.28, 18,942.36 and 7,438.76 is: 10,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.28 : 18,942.36 = 7,438.76 : x
  2. Step 2: Convert to fraction form
    13,726.28/18,942.36 = 7,438.76/x
  3. Step 3: Cross multiply
    13,726.28x = 18,942.36 × 7,438.76
  4. Step 4: Simplify right side
    13,726.28x = 140,907,669.87
  5. Step 5: Solve for x
    x = 140,907,669.87/13,726.28
  6. Step 6: Final answer
    x = 10,265.54

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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.