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Finding the Fourth Proportional to 20,295.35, 30,447.71 and 7,147.83

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Solution

The fourth proportional to 20,295.35, 30,447.71 and 7,147.83 is: 10,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,295.35 : 30,447.71 = 7,147.83 : x
  2. Step 2: Convert to fraction form
    20,295.35/30,447.71 = 7,147.83/x
  3. Step 3: Cross multiply
    20,295.35x = 30,447.71 × 7,147.83
  4. Step 4: Simplify right side
    20,295.35x = 217,635,054.97
  5. Step 5: Solve for x
    x = 217,635,054.97/20,295.35
  6. Step 6: Final answer
    x = 10,723.40

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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.