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Finding the Fourth Proportional to 29,112.92, 40,174.08 and 17,180

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Solution

The fourth proportional to 29,112.92, 40,174.08 and 17,180 is: 23,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,112.92 : 40,174.08 = 17,180 : x
  2. Step 2: Convert to fraction form
    29,112.92/40,174.08 = 17,180/x
  3. Step 3: Cross multiply
    29,112.92x = 40,174.08 × 17,180
  4. Step 4: Simplify right side
    29,112.92x = 690,190,694.40
  5. Step 5: Solve for x
    x = 690,190,694.40/29,112.92
  6. Step 6: Final answer
    x = 23,707.37

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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.