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Finding the Fourth Proportional to 13,418.70, 20,120.05 and 8,228.30

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Solution

The fourth proportional to 13,418.70, 20,120.05 and 8,228.30 is: 12,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.70 : 20,120.05 = 8,228.30 : x
  2. Step 2: Convert to fraction form
    13,418.70/20,120.05 = 8,228.30/x
  3. Step 3: Cross multiply
    13,418.70x = 20,120.05 × 8,228.30
  4. Step 4: Simplify right side
    13,418.70x = 165,553,807.42
  5. Step 5: Solve for x
    x = 165,553,807.42/13,418.70
  6. Step 6: Final answer
    x = 12,337.54

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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.