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Finding the Fourth Proportional to 12,166.30, 18,249.48 and 3,401.29

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Solution

The fourth proportional to 12,166.30, 18,249.48 and 3,401.29 is: 5,101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.30 : 18,249.48 = 3,401.29 : x
  2. Step 2: Convert to fraction form
    12,166.30/18,249.48 = 3,401.29/x
  3. Step 3: Cross multiply
    12,166.30x = 18,249.48 × 3,401.29
  4. Step 4: Simplify right side
    12,166.30x = 62,071,728.21
  5. Step 5: Solve for x
    x = 62,071,728.21/12,166.30
  6. Step 6: Final answer
    x = 5,101.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.