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Finding the Fourth Proportional to 17,270.62, 23,831.76 and 9,716.78

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Solution

The fourth proportional to 17,270.62, 23,831.76 and 9,716.78 is: 13,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,270.62 : 23,831.76 = 9,716.78 : x
  2. Step 2: Convert to fraction form
    17,270.62/23,831.76 = 9,716.78/x
  3. Step 3: Cross multiply
    17,270.62x = 23,831.76 × 9,716.78
  4. Step 4: Simplify right side
    17,270.62x = 231,567,968.93
  5. Step 5: Solve for x
    x = 231,567,968.93/17,270.62
  6. Step 6: Final answer
    x = 13,408.20

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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.