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Finding the Fourth Proportional to 29,769.12, 41,086.44 and 17,201.16

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Solution

The fourth proportional to 29,769.12, 41,086.44 and 17,201.16 is: 23,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769.12 : 41,086.44 = 17,201.16 : x
  2. Step 2: Convert to fraction form
    29,769.12/41,086.44 = 17,201.16/x
  3. Step 3: Cross multiply
    29,769.12x = 41,086.44 × 17,201.16
  4. Step 4: Simplify right side
    29,769.12x = 706,734,428.27
  5. Step 5: Solve for x
    x = 706,734,428.27/29,769.12
  6. Step 6: Final answer
    x = 23,740.52

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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.