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Finding the Fourth Proportional to 22,083.84, 33,121.92 and 8,232.96

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Solution

The fourth proportional to 22,083.84, 33,121.92 and 8,232.96 is: 12,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,083.84 : 33,121.92 = 8,232.96 : x
  2. Step 2: Convert to fraction form
    22,083.84/33,121.92 = 8,232.96/x
  3. Step 3: Cross multiply
    22,083.84x = 33,121.92 × 8,232.96
  4. Step 4: Simplify right side
    22,083.84x = 272,691,442.48
  5. Step 5: Solve for x
    x = 272,691,442.48/22,083.84
  6. Step 6: Final answer
    x = 12,348.01

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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.