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Finding the Fourth Proportional to 21,876.97, 32,822.26 and 7,837.11

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Solution

The fourth proportional to 21,876.97, 32,822.26 and 7,837.11 is: 11,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.97 : 32,822.26 = 7,837.11 : x
  2. Step 2: Convert to fraction form
    21,876.97/32,822.26 = 7,837.11/x
  3. Step 3: Cross multiply
    21,876.97x = 32,822.26 × 7,837.11
  4. Step 4: Simplify right side
    21,876.97x = 257,231,704.94
  5. Step 5: Solve for x
    x = 257,231,704.94/21,876.97
  6. Step 6: Final answer
    x = 11,758.11

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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.