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Finding the Fourth Proportional to 13,849.14, 20,773.44 and 8,304.03

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Solution

The fourth proportional to 13,849.14, 20,773.44 and 8,304.03 is: 12,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849.14 : 20,773.44 = 8,304.03 : x
  2. Step 2: Convert to fraction form
    13,849.14/20,773.44 = 8,304.03/x
  3. Step 3: Cross multiply
    13,849.14x = 20,773.44 × 8,304.03
  4. Step 4: Simplify right side
    13,849.14x = 172,503,268.96
  5. Step 5: Solve for x
    x = 172,503,268.96/13,849.14
  6. Step 6: Final answer
    x = 12,455.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.