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Finding the Fourth Proportional to 13,882.56, 20,824.56 and 6,091.44

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Solution

The fourth proportional to 13,882.56, 20,824.56 and 6,091.44 is: 9,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.56 : 20,824.56 = 6,091.44 : x
  2. Step 2: Convert to fraction form
    13,882.56/20,824.56 = 6,091.44/x
  3. Step 3: Cross multiply
    13,882.56x = 20,824.56 × 6,091.44
  4. Step 4: Simplify right side
    13,882.56x = 126,851,557.77
  5. Step 5: Solve for x
    x = 126,851,557.77/13,882.56
  6. Step 6: Final answer
    x = 9,137.48

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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.