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Finding the Fourth Proportional to 22,096, 33,145.62 and 8,245

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Solution

The fourth proportional to 22,096, 33,145.62 and 8,245 is: 12,368.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096 : 33,145.62 = 8,245 : x
  2. Step 2: Convert to fraction form
    22,096/33,145.62 = 8,245/x
  3. Step 3: Cross multiply
    22,096x = 33,145.62 × 8,245
  4. Step 4: Simplify right side
    22,096x = 273,285,636.90
  5. Step 5: Solve for x
    x = 273,285,636.90/22,096
  6. Step 6: Final answer
    x = 12,368.10

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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.