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Finding the Fourth Proportional to 20,470.93, 30,705.44 and 7,993.24

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Solution

The fourth proportional to 20,470.93, 30,705.44 and 7,993.24 is: 11,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.93 : 30,705.44 = 7,993.24 : x
  2. Step 2: Convert to fraction form
    20,470.93/30,705.44 = 7,993.24/x
  3. Step 3: Cross multiply
    20,470.93x = 30,705.44 × 7,993.24
  4. Step 4: Simplify right side
    20,470.93x = 245,435,834.50
  5. Step 5: Solve for x
    x = 245,435,834.50/20,470.93
  6. Step 6: Final answer
    x = 11,989.48

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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.