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Finding the Fourth Proportional to 22,583.62, 33,877.19 and 6,787.42

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Solution

The fourth proportional to 22,583.62, 33,877.19 and 6,787.42 is: 10,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583.62 : 33,877.19 = 6,787.42 : x
  2. Step 2: Convert to fraction form
    22,583.62/33,877.19 = 6,787.42/x
  3. Step 3: Cross multiply
    22,583.62x = 33,877.19 × 6,787.42
  4. Step 4: Simplify right side
    22,583.62x = 229,938,716.95
  5. Step 5: Solve for x
    x = 229,938,716.95/22,583.62
  6. Step 6: Final answer
    x = 10,181.66

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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.