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Finding the Fourth Proportional to 12,202.20, 18,303.30 and 2,968.20

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Solution

The fourth proportional to 12,202.20, 18,303.30 and 2,968.20 is: 4,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.20 : 18,303.30 = 2,968.20 : x
  2. Step 2: Convert to fraction form
    12,202.20/18,303.30 = 2,968.20/x
  3. Step 3: Cross multiply
    12,202.20x = 18,303.30 × 2,968.20
  4. Step 4: Simplify right side
    12,202.20x = 54,327,855.06
  5. Step 5: Solve for x
    x = 54,327,855.06/12,202.20
  6. Step 6: Final answer
    x = 4,452.30

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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.