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Finding the Fourth Proportional to 17,333.57, 23,920.34 and 9,375.80

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Solution

The fourth proportional to 17,333.57, 23,920.34 and 9,375.80 is: 12,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,333.57 : 23,920.34 = 9,375.80 : x
  2. Step 2: Convert to fraction form
    17,333.57/23,920.34 = 9,375.80/x
  3. Step 3: Cross multiply
    17,333.57x = 23,920.34 × 9,375.80
  4. Step 4: Simplify right side
    17,333.57x = 224,272,157.29
  5. Step 5: Solve for x
    x = 224,272,157.29/17,333.57
  6. Step 6: Final answer
    x = 12,938.61

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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.