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Finding the Fourth Proportional to 13,778.97, 20,652.05 and 9,596.33

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Solution

The fourth proportional to 13,778.97, 20,652.05 and 9,596.33 is: 14,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.97 : 20,652.05 = 9,596.33 : x
  2. Step 2: Convert to fraction form
    13,778.97/20,652.05 = 9,596.33/x
  3. Step 3: Cross multiply
    13,778.97x = 20,652.05 × 9,596.33
  4. Step 4: Simplify right side
    13,778.97x = 198,183,831.17
  5. Step 5: Solve for x
    x = 198,183,831.17/13,778.97
  6. Step 6: Final answer
    x = 14,383.07

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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.