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Finding the Fourth Proportional to 22,787.50, 34,181.79 and 8,936.50

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Solution

The fourth proportional to 22,787.50, 34,181.79 and 8,936.50 is: 13,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,787.50 : 34,181.79 = 8,936.50 : x
  2. Step 2: Convert to fraction form
    22,787.50/34,181.79 = 8,936.50/x
  3. Step 3: Cross multiply
    22,787.50x = 34,181.79 × 8,936.50
  4. Step 4: Simplify right side
    22,787.50x = 305,465,566.34
  5. Step 5: Solve for x
    x = 305,465,566.34/22,787.50
  6. Step 6: Final answer
    x = 13,404.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.