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Finding the Fourth Proportional to 20,162.68, 30,217.74 and 10,293.64

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Solution

The fourth proportional to 20,162.68, 30,217.74 and 10,293.64 is: 15,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.68 : 30,217.74 = 10,293.64 : x
  2. Step 2: Convert to fraction form
    20,162.68/30,217.74 = 10,293.64/x
  3. Step 3: Cross multiply
    20,162.68x = 30,217.74 × 10,293.64
  4. Step 4: Simplify right side
    20,162.68x = 311,050,537.17
  5. Step 5: Solve for x
    x = 311,050,537.17/20,162.68
  6. Step 6: Final answer
    x = 15,427.04

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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.