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Finding the Fourth Proportional to 21,090.78, 31,651.74 and 9,997.44

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Solution

The fourth proportional to 21,090.78, 31,651.74 and 9,997.44 is: 15,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,090.78 : 31,651.74 = 9,997.44 : x
  2. Step 2: Convert to fraction form
    21,090.78/31,651.74 = 9,997.44/x
  3. Step 3: Cross multiply
    21,090.78x = 31,651.74 × 9,997.44
  4. Step 4: Simplify right side
    21,090.78x = 316,436,371.55
  5. Step 5: Solve for x
    x = 316,436,371.55/21,090.78
  6. Step 6: Final answer
    x = 15,003.54

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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.