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Finding the Fourth Proportional to 13,401.47, 18,494.11 and 7,433.15

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Solution

The fourth proportional to 13,401.47, 18,494.11 and 7,433.15 is: 10,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.47 : 18,494.11 = 7,433.15 : x
  2. Step 2: Convert to fraction form
    13,401.47/18,494.11 = 7,433.15/x
  3. Step 3: Cross multiply
    13,401.47x = 18,494.11 × 7,433.15
  4. Step 4: Simplify right side
    13,401.47x = 137,469,563.21
  5. Step 5: Solve for x
    x = 137,469,563.21/13,401.47
  6. Step 6: Final answer
    x = 10,257.80

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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.