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Finding the Fourth Proportional to 13,401.30, 18,493.92 and 7,433.46

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Solution

The fourth proportional to 13,401.30, 18,493.92 and 7,433.46 is: 10,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.30 : 18,493.92 = 7,433.46 : x
  2. Step 2: Convert to fraction form
    13,401.30/18,493.92 = 7,433.46/x
  3. Step 3: Cross multiply
    13,401.30x = 18,493.92 × 7,433.46
  4. Step 4: Simplify right side
    13,401.30x = 137,473,814.56
  5. Step 5: Solve for x
    x = 137,473,814.56/13,401.30
  6. Step 6: Final answer
    x = 10,258.24

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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.