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Finding the Fourth Proportional to 29,894.73, 41,271.30 and 17,961

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Solution

The fourth proportional to 29,894.73, 41,271.30 and 17,961 is: 24,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894.73 : 41,271.30 = 17,961 : x
  2. Step 2: Convert to fraction form
    29,894.73/41,271.30 = 17,961/x
  3. Step 3: Cross multiply
    29,894.73x = 41,271.30 × 17,961
  4. Step 4: Simplify right side
    29,894.73x = 741,273,819.30
  5. Step 5: Solve for x
    x = 741,273,819.30/29,894.73
  6. Step 6: Final answer
    x = 24,796.14

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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.