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Finding the Fourth Proportional to 23,507.31, 32,440.09 and 12,896.94

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Solution

The fourth proportional to 23,507.31, 32,440.09 and 12,896.94 is: 17,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.31 : 32,440.09 = 12,896.94 : x
  2. Step 2: Convert to fraction form
    23,507.31/32,440.09 = 12,896.94/x
  3. Step 3: Cross multiply
    23,507.31x = 32,440.09 × 12,896.94
  4. Step 4: Simplify right side
    23,507.31x = 418,377,732.12
  5. Step 5: Solve for x
    x = 418,377,732.12/23,507.31
  6. Step 6: Final answer
    x = 17,797.78

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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.