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Finding the Fourth Proportional to 12,822.20, 19,202.70 and 6,227.20

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Solution

The fourth proportional to 12,822.20, 19,202.70 and 6,227.20 is: 9,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822.20 : 19,202.70 = 6,227.20 : x
  2. Step 2: Convert to fraction form
    12,822.20/19,202.70 = 6,227.20/x
  3. Step 3: Cross multiply
    12,822.20x = 19,202.70 × 6,227.20
  4. Step 4: Simplify right side
    12,822.20x = 119,579,053.44
  5. Step 5: Solve for x
    x = 119,579,053.44/12,822.20
  6. Step 6: Final answer
    x = 9,325.94

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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.