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Finding the Fourth Proportional to 22,787.38, 34,168.31 and 7,990.50

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Solution

The fourth proportional to 22,787.38, 34,168.31 and 7,990.50 is: 11,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,787.38 : 34,168.31 = 7,990.50 : x
  2. Step 2: Convert to fraction form
    22,787.38/34,168.31 = 7,990.50/x
  3. Step 3: Cross multiply
    22,787.38x = 34,168.31 × 7,990.50
  4. Step 4: Simplify right side
    22,787.38x = 273,021,881.06
  5. Step 5: Solve for x
    x = 273,021,881.06/22,787.38
  6. Step 6: Final answer
    x = 11,981.28

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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.