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Finding the Fourth Proportional to 20,441.80, 30,637 and 8,741.24

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Solution

The fourth proportional to 20,441.80, 30,637 and 8,741.24 is: 13,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,441.80 : 30,637 = 8,741.24 : x
  2. Step 2: Convert to fraction form
    20,441.80/30,637 = 8,741.24/x
  3. Step 3: Cross multiply
    20,441.80x = 30,637 × 8,741.24
  4. Step 4: Simplify right side
    20,441.80x = 267,805,369.88
  5. Step 5: Solve for x
    x = 267,805,369.88/20,441.80
  6. Step 6: Final answer
    x = 13,100.87

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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.