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Finding the Fourth Proportional to 13,831.01, 20,743.67 and 3,968.10

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Solution

The fourth proportional to 13,831.01, 20,743.67 and 3,968.10 is: 5,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.01 : 20,743.67 = 3,968.10 : x
  2. Step 2: Convert to fraction form
    13,831.01/20,743.67 = 3,968.10/x
  3. Step 3: Cross multiply
    13,831.01x = 20,743.67 × 3,968.10
  4. Step 4: Simplify right side
    13,831.01x = 82,312,937.09
  5. Step 5: Solve for x
    x = 82,312,937.09/13,831.01
  6. Step 6: Final answer
    x = 5,951.33

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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.