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Finding the Fourth Proportional to 13,523.40, 20,285.10 and 4,759.20

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Solution

The fourth proportional to 13,523.40, 20,285.10 and 4,759.20 is: 7,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.40 : 20,285.10 = 4,759.20 : x
  2. Step 2: Convert to fraction form
    13,523.40/20,285.10 = 4,759.20/x
  3. Step 3: Cross multiply
    13,523.40x = 20,285.10 × 4,759.20
  4. Step 4: Simplify right side
    13,523.40x = 96,540,847.92
  5. Step 5: Solve for x
    x = 96,540,847.92/13,523.40
  6. Step 6: Final answer
    x = 7,138.80

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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.