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Finding the Fourth Proportional to 17,375.26, 23,978.03 and 9,821.60

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Solution

The fourth proportional to 17,375.26, 23,978.03 and 9,821.60 is: 13,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,375.26 : 23,978.03 = 9,821.60 : x
  2. Step 2: Convert to fraction form
    17,375.26/23,978.03 = 9,821.60/x
  3. Step 3: Cross multiply
    17,375.26x = 23,978.03 × 9,821.60
  4. Step 4: Simplify right side
    17,375.26x = 235,502,675.24
  5. Step 5: Solve for x
    x = 235,502,675.24/17,375.26
  6. Step 6: Final answer
    x = 13,553.91

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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.