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Finding the Fourth Proportional to 28,134.88, 38,825 and 16,198.64

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Solution

The fourth proportional to 28,134.88, 38,825 and 16,198.64 is: 22,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,134.88 : 38,825 = 16,198.64 : x
  2. Step 2: Convert to fraction form
    28,134.88/38,825 = 16,198.64/x
  3. Step 3: Cross multiply
    28,134.88x = 38,825 × 16,198.64
  4. Step 4: Simplify right side
    28,134.88x = 628,912,198
  5. Step 5: Solve for x
    x = 628,912,198/28,134.88
  6. Step 6: Final answer
    x = 22,353.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.