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Finding the Fourth Proportional to 29,721.30, 41,015.82 and 17,785.14

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Solution

The fourth proportional to 29,721.30, 41,015.82 and 17,785.14 is: 24,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,721.30 : 41,015.82 = 17,785.14 : x
  2. Step 2: Convert to fraction form
    29,721.30/41,015.82 = 17,785.14/x
  3. Step 3: Cross multiply
    29,721.30x = 41,015.82 × 17,785.14
  4. Step 4: Simplify right side
    29,721.30x = 729,472,100.91
  5. Step 5: Solve for x
    x = 729,472,100.91/29,721.30
  6. Step 6: Final answer
    x = 24,543.75

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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.