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Finding the Fourth Proportional to 13,844.44, 20,754.30 and 5,077.30

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Solution

The fourth proportional to 13,844.44, 20,754.30 and 5,077.30 is: 7,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,844.44 : 20,754.30 = 5,077.30 : x
  2. Step 2: Convert to fraction form
    13,844.44/20,754.30 = 5,077.30/x
  3. Step 3: Cross multiply
    13,844.44x = 20,754.30 × 5,077.30
  4. Step 4: Simplify right side
    13,844.44x = 105,375,807.39
  5. Step 5: Solve for x
    x = 105,375,807.39/13,844.44
  6. Step 6: Final answer
    x = 7,611.42

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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.