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Finding the Fourth Proportional to 30,231.40, 41,721.92 and 16,805.25

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Solution

The fourth proportional to 30,231.40, 41,721.92 and 16,805.25 is: 23,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,231.40 : 41,721.92 = 16,805.25 : x
  2. Step 2: Convert to fraction form
    30,231.40/41,721.92 = 16,805.25/x
  3. Step 3: Cross multiply
    30,231.40x = 41,721.92 × 16,805.25
  4. Step 4: Simplify right side
    30,231.40x = 701,147,087.47
  5. Step 5: Solve for x
    x = 701,147,087.47/30,231.40
  6. Step 6: Final answer
    x = 23,192.68

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