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Finding the Fourth Proportional to 26,972.30, 40,456.29 and 9,201.44

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Solution

The fourth proportional to 26,972.30, 40,456.29 and 9,201.44 is: 13,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,972.30 : 40,456.29 = 9,201.44 : x
  2. Step 2: Convert to fraction form
    26,972.30/40,456.29 = 9,201.44/x
  3. Step 3: Cross multiply
    26,972.30x = 40,456.29 × 9,201.44
  4. Step 4: Simplify right side
    26,972.30x = 372,256,125.06
  5. Step 5: Solve for x
    x = 372,256,125.06/26,972.30
  6. Step 6: Final answer
    x = 13,801.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.