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Finding the Fourth Proportional to 22,822.40, 34,195.20 and 15,027.20

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Solution

The fourth proportional to 22,822.40, 34,195.20 and 15,027.20 is: 22,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.40 : 34,195.20 = 15,027.20 : x
  2. Step 2: Convert to fraction form
    22,822.40/34,195.20 = 15,027.20/x
  3. Step 3: Cross multiply
    22,822.40x = 34,195.20 × 15,027.20
  4. Step 4: Simplify right side
    22,822.40x = 513,858,109.44
  5. Step 5: Solve for x
    x = 513,858,109.44/22,822.40
  6. Step 6: Final answer
    x = 22,515.52

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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.