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Finding the Fourth Proportional to 30,649.97, 42,296.99 and 17,221.21

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Solution

The fourth proportional to 30,649.97, 42,296.99 and 17,221.21 is: 23,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.97 : 42,296.99 = 17,221.21 : x
  2. Step 2: Convert to fraction form
    30,649.97/42,296.99 = 17,221.21/x
  3. Step 3: Cross multiply
    30,649.97x = 42,296.99 × 17,221.21
  4. Step 4: Simplify right side
    30,649.97x = 728,405,347.16
  5. Step 5: Solve for x
    x = 728,405,347.16/30,649.97
  6. Step 6: Final answer
    x = 23,765.29

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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.