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Finding the Fourth Proportional to 20,255.30, 30,389.94 and 8,415.44

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Solution

The fourth proportional to 20,255.30, 30,389.94 and 8,415.44 is: 12,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255.30 : 30,389.94 = 8,415.44 : x
  2. Step 2: Convert to fraction form
    20,255.30/30,389.94 = 8,415.44/x
  3. Step 3: Cross multiply
    20,255.30x = 30,389.94 × 8,415.44
  4. Step 4: Simplify right side
    20,255.30x = 255,744,716.67
  5. Step 5: Solve for x
    x = 255,744,716.67/20,255.30
  6. Step 6: Final answer
    x = 12,626.06

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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.