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Finding the Fourth Proportional to 13,384.70, 20,069.05 and 8,194.30

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Solution

The fourth proportional to 13,384.70, 20,069.05 and 8,194.30 is: 12,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.70 : 20,069.05 = 8,194.30 : x
  2. Step 2: Convert to fraction form
    13,384.70/20,069.05 = 8,194.30/x
  3. Step 3: Cross multiply
    13,384.70x = 20,069.05 × 8,194.30
  4. Step 4: Simplify right side
    13,384.70x = 164,451,816.42
  5. Step 5: Solve for x
    x = 164,451,816.42/13,384.70
  6. Step 6: Final answer
    x = 12,286.55

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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.