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Finding the Fourth Proportional to 12,200.68, 18,303.72 and 3,768.04

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Solution

The fourth proportional to 12,200.68, 18,303.72 and 3,768.04 is: 5,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.68 : 18,303.72 = 3,768.04 : x
  2. Step 2: Convert to fraction form
    12,200.68/18,303.72 = 3,768.04/x
  3. Step 3: Cross multiply
    12,200.68x = 18,303.72 × 3,768.04
  4. Step 4: Simplify right side
    12,200.68x = 68,969,149.11
  5. Step 5: Solve for x
    x = 68,969,149.11/12,200.68
  6. Step 6: Final answer
    x = 5,652.89

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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.