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Finding the Fourth Proportional to 22,563.90, 33,839.28 and 6,768.30

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Solution

The fourth proportional to 22,563.90, 33,839.28 and 6,768.30 is: 10,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.90 : 33,839.28 = 6,768.30 : x
  2. Step 2: Convert to fraction form
    22,563.90/33,839.28 = 6,768.30/x
  3. Step 3: Cross multiply
    22,563.90x = 33,839.28 × 6,768.30
  4. Step 4: Simplify right side
    22,563.90x = 229,034,398.82
  5. Step 5: Solve for x
    x = 229,034,398.82/22,563.90
  6. Step 6: Final answer
    x = 10,150.48

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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.