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Finding the Fourth Proportional to 13,401, 18,493.38 and 7,433.55

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Solution

The fourth proportional to 13,401, 18,493.38 and 7,433.55 is: 10,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401 : 18,493.38 = 7,433.55 : x
  2. Step 2: Convert to fraction form
    13,401/18,493.38 = 7,433.55/x
  3. Step 3: Cross multiply
    13,401x = 18,493.38 × 7,433.55
  4. Step 4: Simplify right side
    13,401x = 137,471,464.90
  5. Step 5: Solve for x
    x = 137,471,464.90/13,401
  6. Step 6: Final answer
    x = 10,258.30

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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.