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Finding the Fourth Proportional to 13,831.80, 20,741.56 and 3,968.80

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Solution

The fourth proportional to 13,831.80, 20,741.56 and 3,968.80 is: 5,951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.80 : 20,741.56 = 3,968.80 : x
  2. Step 2: Convert to fraction form
    13,831.80/20,741.56 = 3,968.80/x
  3. Step 3: Cross multiply
    13,831.80x = 20,741.56 × 3,968.80
  4. Step 4: Simplify right side
    13,831.80x = 82,319,103.33
  5. Step 5: Solve for x
    x = 82,319,103.33/13,831.80
  6. Step 6: Final answer
    x = 5,951.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.