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Finding the Fourth Proportional to 22,012.80, 33,022.40 and 7,219.20

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Solution

The fourth proportional to 22,012.80, 33,022.40 and 7,219.20 is: 10,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012.80 : 33,022.40 = 7,219.20 : x
  2. Step 2: Convert to fraction form
    22,012.80/33,022.40 = 7,219.20/x
  3. Step 3: Cross multiply
    22,012.80x = 33,022.40 × 7,219.20
  4. Step 4: Simplify right side
    22,012.80x = 238,395,310.08
  5. Step 5: Solve for x
    x = 238,395,310.08/22,012.80
  6. Step 6: Final answer
    x = 10,829.85

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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.