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Finding the Fourth Proportional to 20,096.70, 30,144.90 and 6,056.67

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Solution

The fourth proportional to 20,096.70, 30,144.90 and 6,056.67 is: 9,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.70 : 30,144.90 = 6,056.67 : x
  2. Step 2: Convert to fraction form
    20,096.70/30,144.90 = 6,056.67/x
  3. Step 3: Cross multiply
    20,096.70x = 30,144.90 × 6,056.67
  4. Step 4: Simplify right side
    20,096.70x = 182,577,711.48
  5. Step 5: Solve for x
    x = 182,577,711.48/20,096.70
  6. Step 6: Final answer
    x = 9,084.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.