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Finding the Fourth Proportional to 13,736.88, 20,611.80 and 4,969.44

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Solution

The fourth proportional to 13,736.88, 20,611.80 and 4,969.44 is: 7,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736.88 : 20,611.80 = 4,969.44 : x
  2. Step 2: Convert to fraction form
    13,736.88/20,611.80 = 4,969.44/x
  3. Step 3: Cross multiply
    13,736.88x = 20,611.80 × 4,969.44
  4. Step 4: Simplify right side
    13,736.88x = 102,429,103.39
  5. Step 5: Solve for x
    x = 102,429,103.39/13,736.88
  6. Step 6: Final answer
    x = 7,456.50

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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.