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Finding the Fourth Proportional to 20,152.70, 30,229.05 and 12,733.10

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Solution

The fourth proportional to 20,152.70, 30,229.05 and 12,733.10 is: 19,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.70 : 30,229.05 = 12,733.10 : x
  2. Step 2: Convert to fraction form
    20,152.70/30,229.05 = 12,733.10/x
  3. Step 3: Cross multiply
    20,152.70x = 30,229.05 × 12,733.10
  4. Step 4: Simplify right side
    20,152.70x = 384,909,516.56
  5. Step 5: Solve for x
    x = 384,909,516.56/20,152.70
  6. Step 6: Final answer
    x = 19,099.65

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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.