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Finding the Fourth Proportional to 13,726.17, 18,942.11 and 7,438.55

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Solution

The fourth proportional to 13,726.17, 18,942.11 and 7,438.55 is: 10,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.17 : 18,942.11 = 7,438.55 : x
  2. Step 2: Convert to fraction form
    13,726.17/18,942.11 = 7,438.55/x
  3. Step 3: Cross multiply
    13,726.17x = 18,942.11 × 7,438.55
  4. Step 4: Simplify right side
    13,726.17x = 140,901,784.99
  5. Step 5: Solve for x
    x = 140,901,784.99/13,726.17
  6. Step 6: Final answer
    x = 10,265.19

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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.