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Finding the Fourth Proportional to 13,857.48, 20,780.04 and 3,994.41

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Solution

The fourth proportional to 13,857.48, 20,780.04 and 3,994.41 is: 5,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.48 : 20,780.04 = 3,994.41 : x
  2. Step 2: Convert to fraction form
    13,857.48/20,780.04 = 3,994.41/x
  3. Step 3: Cross multiply
    13,857.48x = 20,780.04 × 3,994.41
  4. Step 4: Simplify right side
    13,857.48x = 83,004,092.48
  5. Step 5: Solve for x
    x = 83,004,092.48/13,857.48
  6. Step 6: Final answer
    x = 5,989.84

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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.