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Finding the Fourth Proportional to 13,471.59, 20,214.23 and 6,074.41

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Solution

The fourth proportional to 13,471.59, 20,214.23 and 6,074.41 is: 9,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.59 : 20,214.23 = 6,074.41 : x
  2. Step 2: Convert to fraction form
    13,471.59/20,214.23 = 6,074.41/x
  3. Step 3: Cross multiply
    13,471.59x = 20,214.23 × 6,074.41
  4. Step 4: Simplify right side
    13,471.59x = 122,789,520.85
  5. Step 5: Solve for x
    x = 122,789,520.85/13,471.59
  6. Step 6: Final answer
    x = 9,114.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.