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Finding the Fourth Proportional to 29,770.68, 41,083.20 and 17,195.16

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Solution

The fourth proportional to 29,770.68, 41,083.20 and 17,195.16 is: 23,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770.68 : 41,083.20 = 17,195.16 : x
  2. Step 2: Convert to fraction form
    29,770.68/41,083.20 = 17,195.16/x
  3. Step 3: Cross multiply
    29,770.68x = 41,083.20 × 17,195.16
  4. Step 4: Simplify right side
    29,770.68x = 706,432,197.31
  5. Step 5: Solve for x
    x = 706,432,197.31/29,770.68
  6. Step 6: Final answer
    x = 23,729.13

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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.