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Finding the Fourth Proportional to 20,143.69, 30,217.15 and 6,292.69

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Solution

The fourth proportional to 20,143.69, 30,217.15 and 6,292.69 is: 9,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.69 : 30,217.15 = 6,292.69 : x
  2. Step 2: Convert to fraction form
    20,143.69/30,217.15 = 6,292.69/x
  3. Step 3: Cross multiply
    20,143.69x = 30,217.15 × 6,292.69
  4. Step 4: Simplify right side
    20,143.69x = 190,147,089.96
  5. Step 5: Solve for x
    x = 190,147,089.96/20,143.69
  6. Step 6: Final answer
    x = 9,439.54

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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.