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Finding the Fourth Proportional to 13,850.46, 20,770.83 and 3,987.10

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Solution

The fourth proportional to 13,850.46, 20,770.83 and 3,987.10 is: 5,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.46 : 20,770.83 = 3,987.10 : x
  2. Step 2: Convert to fraction form
    13,850.46/20,770.83 = 3,987.10/x
  3. Step 3: Cross multiply
    13,850.46x = 20,770.83 × 3,987.10
  4. Step 4: Simplify right side
    13,850.46x = 82,815,376.29
  5. Step 5: Solve for x
    x = 82,815,376.29/13,850.46
  6. Step 6: Final answer
    x = 5,979.25

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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.