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Finding the Fourth Proportional to 17,224.89, 23,770.80 and 9,671.82

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Solution

The fourth proportional to 17,224.89, 23,770.80 and 9,671.82 is: 13,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224.89 : 23,770.80 = 9,671.82 : x
  2. Step 2: Convert to fraction form
    17,224.89/23,770.80 = 9,671.82/x
  3. Step 3: Cross multiply
    17,224.89x = 23,770.80 × 9,671.82
  4. Step 4: Simplify right side
    17,224.89x = 229,906,898.86
  5. Step 5: Solve for x
    x = 229,906,898.86/17,224.89
  6. Step 6: Final answer
    x = 13,347.37

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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.