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Finding the Fourth Proportional to 17,144.89, 23,662.14 and 9,591.64

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Solution

The fourth proportional to 17,144.89, 23,662.14 and 9,591.64 is: 13,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,144.89 : 23,662.14 = 9,591.64 : x
  2. Step 2: Convert to fraction form
    17,144.89/23,662.14 = 9,591.64/x
  3. Step 3: Cross multiply
    17,144.89x = 23,662.14 × 9,591.64
  4. Step 4: Simplify right side
    17,144.89x = 226,958,728.51
  5. Step 5: Solve for x
    x = 226,958,728.51/17,144.89
  6. Step 6: Final answer
    x = 13,237.69

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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.