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Finding the Fourth Proportional to 12,406.68, 18,612.60 and 3,640.80

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Solution

The fourth proportional to 12,406.68, 18,612.60 and 3,640.80 is: 5,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.68 : 18,612.60 = 3,640.80 : x
  2. Step 2: Convert to fraction form
    12,406.68/18,612.60 = 3,640.80/x
  3. Step 3: Cross multiply
    12,406.68x = 18,612.60 × 3,640.80
  4. Step 4: Simplify right side
    12,406.68x = 67,764,754.08
  5. Step 5: Solve for x
    x = 67,764,754.08/12,406.68
  6. Step 6: Final answer
    x = 5,461.96

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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.