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Finding the Fourth Proportional to 14,198.46, 19,593.27 and 8,229.66

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Solution

The fourth proportional to 14,198.46, 19,593.27 and 8,229.66 is: 11,356.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.46 : 19,593.27 = 8,229.66 : x
  2. Step 2: Convert to fraction form
    14,198.46/19,593.27 = 8,229.66/x
  3. Step 3: Cross multiply
    14,198.46x = 19,593.27 × 8,229.66
  4. Step 4: Simplify right side
    14,198.46x = 161,245,950.39
  5. Step 5: Solve for x
    x = 161,245,950.39/14,198.46
  6. Step 6: Final answer
    x = 11,356.58

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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.