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Finding the Fourth Proportional to 13,858.14, 20,782.32 and 3,994.76

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Solution

The fourth proportional to 13,858.14, 20,782.32 and 3,994.76 is: 5,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.14 : 20,782.32 = 3,994.76 : x
  2. Step 2: Convert to fraction form
    13,858.14/20,782.32 = 3,994.76/x
  3. Step 3: Cross multiply
    13,858.14x = 20,782.32 × 3,994.76
  4. Step 4: Simplify right side
    13,858.14x = 83,020,380.64
  5. Step 5: Solve for x
    x = 83,020,380.64/13,858.14
  6. Step 6: Final answer
    x = 5,990.73

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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.