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Finding the Fourth Proportional to 17,375.75, 23,978.53 and 9,417.97

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Solution

The fourth proportional to 17,375.75, 23,978.53 and 9,417.97 is: 12,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,375.75 : 23,978.53 = 9,417.97 : x
  2. Step 2: Convert to fraction form
    17,375.75/23,978.53 = 9,417.97/x
  3. Step 3: Cross multiply
    17,375.75x = 23,978.53 × 9,417.97
  4. Step 4: Simplify right side
    17,375.75x = 225,829,076.18
  5. Step 5: Solve for x
    x = 225,829,076.18/17,375.75
  6. Step 6: Final answer
    x = 12,996.80

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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.