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Finding the Fourth Proportional to 20,208.44, 30,243.78 and 18,455.60

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Solution

The fourth proportional to 20,208.44, 30,243.78 and 18,455.60 is: 27,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.44 : 30,243.78 = 18,455.60 : x
  2. Step 2: Convert to fraction form
    20,208.44/30,243.78 = 18,455.60/x
  3. Step 3: Cross multiply
    20,208.44x = 30,243.78 × 18,455.60
  4. Step 4: Simplify right side
    20,208.44x = 558,167,106.17
  5. Step 5: Solve for x
    x = 558,167,106.17/20,208.44
  6. Step 6: Final answer
    x = 27,620.49

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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.