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Finding the Fourth Proportional to 14,912.91, 20,580.21 and 8,198.82

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Solution

The fourth proportional to 14,912.91, 20,580.21 and 8,198.82 is: 11,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.91 : 20,580.21 = 8,198.82 : x
  2. Step 2: Convert to fraction form
    14,912.91/20,580.21 = 8,198.82/x
  3. Step 3: Cross multiply
    14,912.91x = 20,580.21 × 8,198.82
  4. Step 4: Simplify right side
    14,912.91x = 168,733,334.45
  5. Step 5: Solve for x
    x = 168,733,334.45/14,912.91
  6. Step 6: Final answer
    x = 11,314.59

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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.