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Finding the Fourth Proportional to 28,204.75, 38,912.88 and 16,096.60

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Solution

The fourth proportional to 28,204.75, 38,912.88 and 16,096.60 is: 22,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,204.75 : 38,912.88 = 16,096.60 : x
  2. Step 2: Convert to fraction form
    28,204.75/38,912.88 = 16,096.60/x
  3. Step 3: Cross multiply
    28,204.75x = 38,912.88 × 16,096.60
  4. Step 4: Simplify right side
    28,204.75x = 626,365,064.21
  5. Step 5: Solve for x
    x = 626,365,064.21/28,204.75
  6. Step 6: Final answer
    x = 22,207.79

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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.