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Finding the Fourth Proportional to 13,586.80, 20,380.20 and 9,439.60

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Solution

The fourth proportional to 13,586.80, 20,380.20 and 9,439.60 is: 14,159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.80 : 20,380.20 = 9,439.60 : x
  2. Step 2: Convert to fraction form
    13,586.80/20,380.20 = 9,439.60/x
  3. Step 3: Cross multiply
    13,586.80x = 20,380.20 × 9,439.60
  4. Step 4: Simplify right side
    13,586.80x = 192,380,935.92
  5. Step 5: Solve for x
    x = 192,380,935.92/13,586.80
  6. Step 6: Final answer
    x = 14,159.40

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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.