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Finding the Fourth Proportional to 22,552.02, 33,832.28 and 6,966

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Solution

The fourth proportional to 22,552.02, 33,832.28 and 6,966 is: 10,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.02 : 33,832.28 = 6,966 : x
  2. Step 2: Convert to fraction form
    22,552.02/33,832.28 = 6,966/x
  3. Step 3: Cross multiply
    22,552.02x = 33,832.28 × 6,966
  4. Step 4: Simplify right side
    22,552.02x = 235,675,679.90
  5. Step 5: Solve for x
    x = 235,675,679.90/22,552.02
  6. Step 6: Final answer
    x = 10,450.31

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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.