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Finding the Fourth Proportional to 26,012.31, 38,993.34 and 11,982

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Solution

The fourth proportional to 26,012.31, 38,993.34 and 11,982 is: 17,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,012.31 : 38,993.34 = 11,982 : x
  2. Step 2: Convert to fraction form
    26,012.31/38,993.34 = 11,982/x
  3. Step 3: Cross multiply
    26,012.31x = 38,993.34 × 11,982
  4. Step 4: Simplify right side
    26,012.31x = 467,218,199.88
  5. Step 5: Solve for x
    x = 467,218,199.88/26,012.31
  6. Step 6: Final answer
    x = 17,961.43

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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.