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Finding the Fourth Proportional to 17,299.76, 23,872.05 and 10,224.80

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Solution

The fourth proportional to 17,299.76, 23,872.05 and 10,224.80 is: 14,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,299.76 : 23,872.05 = 10,224.80 : x
  2. Step 2: Convert to fraction form
    17,299.76/23,872.05 = 10,224.80/x
  3. Step 3: Cross multiply
    17,299.76x = 23,872.05 × 10,224.80
  4. Step 4: Simplify right side
    17,299.76x = 244,086,936.84
  5. Step 5: Solve for x
    x = 244,086,936.84/17,299.76
  6. Step 6: Final answer
    x = 14,109.27

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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.