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Finding the Fourth Proportional to 12,286.40, 18,429.60 and 3,520.80

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Solution

The fourth proportional to 12,286.40, 18,429.60 and 3,520.80 is: 5,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.40 : 18,429.60 = 3,520.80 : x
  2. Step 2: Convert to fraction form
    12,286.40/18,429.60 = 3,520.80/x
  3. Step 3: Cross multiply
    12,286.40x = 18,429.60 × 3,520.80
  4. Step 4: Simplify right side
    12,286.40x = 64,886,935.68
  5. Step 5: Solve for x
    x = 64,886,935.68/12,286.40
  6. Step 6: Final answer
    x = 5,281.20

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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.