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Finding the Fourth Proportional to 21,832.31, 30,128.59 and 11,896.31

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Solution

The fourth proportional to 21,832.31, 30,128.59 and 11,896.31 is: 16,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.31 : 30,128.59 = 11,896.31 : x
  2. Step 2: Convert to fraction form
    21,832.31/30,128.59 = 11,896.31/x
  3. Step 3: Cross multiply
    21,832.31x = 30,128.59 × 11,896.31
  4. Step 4: Simplify right side
    21,832.31x = 358,419,136.69
  5. Step 5: Solve for x
    x = 358,419,136.69/21,832.31
  6. Step 6: Final answer
    x = 16,416.91

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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.