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Finding the Fourth Proportional to 29,902.14, 41,264.73 and 17,965.17

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Solution

The fourth proportional to 29,902.14, 41,264.73 and 17,965.17 is: 24,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902.14 : 41,264.73 = 17,965.17 : x
  2. Step 2: Convert to fraction form
    29,902.14/41,264.73 = 17,965.17/x
  3. Step 3: Cross multiply
    29,902.14x = 41,264.73 × 17,965.17
  4. Step 4: Simplify right side
    29,902.14x = 741,327,889.45
  5. Step 5: Solve for x
    x = 741,327,889.45/29,902.14
  6. Step 6: Final answer
    x = 24,791.80

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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.