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Finding the Fourth Proportional to 14,517.54, 20,033.19 and 8,230.86

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Solution

The fourth proportional to 14,517.54, 20,033.19 and 8,230.86 is: 11,358.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.54 : 20,033.19 = 8,230.86 : x
  2. Step 2: Convert to fraction form
    14,517.54/20,033.19 = 8,230.86/x
  3. Step 3: Cross multiply
    14,517.54x = 20,033.19 × 8,230.86
  4. Step 4: Simplify right side
    14,517.54x = 164,890,382.24
  5. Step 5: Solve for x
    x = 164,890,382.24/14,517.54
  6. Step 6: Final answer
    x = 11,358.01

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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.