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Finding the Fourth Proportional to 12,296.46, 18,441.92 and 3,532.08

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Solution

The fourth proportional to 12,296.46, 18,441.92 and 3,532.08 is: 5,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.46 : 18,441.92 = 3,532.08 : x
  2. Step 2: Convert to fraction form
    12,296.46/18,441.92 = 3,532.08/x
  3. Step 3: Cross multiply
    12,296.46x = 18,441.92 × 3,532.08
  4. Step 4: Simplify right side
    12,296.46x = 65,138,336.79
  5. Step 5: Solve for x
    x = 65,138,336.79/12,296.46
  6. Step 6: Final answer
    x = 5,297.32

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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.