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Finding the Fourth Proportional to 20,286.44, 30,415.04 and 9,187.41

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Solution

The fourth proportional to 20,286.44, 30,415.04 and 9,187.41 is: 13,774.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286.44 : 30,415.04 = 9,187.41 : x
  2. Step 2: Convert to fraction form
    20,286.44/30,415.04 = 9,187.41/x
  3. Step 3: Cross multiply
    20,286.44x = 30,415.04 × 9,187.41
  4. Step 4: Simplify right side
    20,286.44x = 279,435,442.65
  5. Step 5: Solve for x
    x = 279,435,442.65/20,286.44
  6. Step 6: Final answer
    x = 13,774.49

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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.