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Finding the Fourth Proportional to 22,452, 33,682.86 and 8,601

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Solution

The fourth proportional to 22,452, 33,682.86 and 8,601 is: 12,903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452 : 33,682.86 = 8,601 : x
  2. Step 2: Convert to fraction form
    22,452/33,682.86 = 8,601/x
  3. Step 3: Cross multiply
    22,452x = 33,682.86 × 8,601
  4. Step 4: Simplify right side
    22,452x = 289,706,278.86
  5. Step 5: Solve for x
    x = 289,706,278.86/22,452
  6. Step 6: Final answer
    x = 12,903.36

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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.