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Finding the Fourth Proportional to 14,834.57, 20,471.73 and 8,120.20

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Solution

The fourth proportional to 14,834.57, 20,471.73 and 8,120.20 is: 11,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.57 : 20,471.73 = 8,120.20 : x
  2. Step 2: Convert to fraction form
    14,834.57/20,471.73 = 8,120.20/x
  3. Step 3: Cross multiply
    14,834.57x = 20,471.73 × 8,120.20
  4. Step 4: Simplify right side
    14,834.57x = 166,234,541.95
  5. Step 5: Solve for x
    x = 166,234,541.95/14,834.57
  6. Step 6: Final answer
    x = 11,205.89

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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.