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Finding the Fourth Proportional to 14,834.72, 20,471.11 and 8,119.05

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Solution

The fourth proportional to 14,834.72, 20,471.11 and 8,119.05 is: 11,203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.72 : 20,471.11 = 8,119.05 : x
  2. Step 2: Convert to fraction form
    14,834.72/20,471.11 = 8,119.05/x
  3. Step 3: Cross multiply
    14,834.72x = 20,471.11 × 8,119.05
  4. Step 4: Simplify right side
    14,834.72x = 166,205,914.25
  5. Step 5: Solve for x
    x = 166,205,914.25/14,834.72
  6. Step 6: Final answer
    x = 11,203.85

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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.