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Finding the Fourth Proportional to 22,310.84, 33,469.34 and 7,523.99

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Solution

The fourth proportional to 22,310.84, 33,469.34 and 7,523.99 is: 11,287.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310.84 : 33,469.34 = 7,523.99 : x
  2. Step 2: Convert to fraction form
    22,310.84/33,469.34 = 7,523.99/x
  3. Step 3: Cross multiply
    22,310.84x = 33,469.34 × 7,523.99
  4. Step 4: Simplify right side
    22,310.84x = 251,822,774.50
  5. Step 5: Solve for x
    x = 251,822,774.50/22,310.84
  6. Step 6: Final answer
    x = 11,287.02

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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.