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Finding the Fourth Proportional to 17,311.22, 23,892.59 and 16,522.38

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Solution

The fourth proportional to 17,311.22, 23,892.59 and 16,522.38 is: 22,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.22 : 23,892.59 = 16,522.38 : x
  2. Step 2: Convert to fraction form
    17,311.22/23,892.59 = 16,522.38/x
  3. Step 3: Cross multiply
    17,311.22x = 23,892.59 × 16,522.38
  4. Step 4: Simplify right side
    17,311.22x = 394,762,451.16
  5. Step 5: Solve for x
    x = 394,762,451.16/17,311.22
  6. Step 6: Final answer
    x = 22,803.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.