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Finding the Fourth Proportional to 14,517.19, 20,033.75 and 8,229.56

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Solution

The fourth proportional to 14,517.19, 20,033.75 and 8,229.56 is: 11,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.19 : 20,033.75 = 8,229.56 : x
  2. Step 2: Convert to fraction form
    14,517.19/20,033.75 = 8,229.56/x
  3. Step 3: Cross multiply
    14,517.19x = 20,033.75 × 8,229.56
  4. Step 4: Simplify right side
    14,517.19x = 164,868,947.65
  5. Step 5: Solve for x
    x = 164,868,947.65/14,517.19
  6. Step 6: Final answer
    x = 11,356.81

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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.