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Finding the Fourth Proportional to 22,575.84, 33,850.39 and 9,244.86

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Solution

The fourth proportional to 22,575.84, 33,850.39 and 9,244.86 is: 13,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575.84 : 33,850.39 = 9,244.86 : x
  2. Step 2: Convert to fraction form
    22,575.84/33,850.39 = 9,244.86/x
  3. Step 3: Cross multiply
    22,575.84x = 33,850.39 × 9,244.86
  4. Step 4: Simplify right side
    22,575.84x = 312,942,116.50
  5. Step 5: Solve for x
    x = 312,942,116.50/22,575.84
  6. Step 6: Final answer
    x = 13,861.81

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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.