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Finding the Fourth Proportional to 20,164.21, 30,246.30 and 7,852.21

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Solution

The fourth proportional to 20,164.21, 30,246.30 and 7,852.21 is: 11,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.21 : 30,246.30 = 7,852.21 : x
  2. Step 2: Convert to fraction form
    20,164.21/30,246.30 = 7,852.21/x
  3. Step 3: Cross multiply
    20,164.21x = 30,246.30 × 7,852.21
  4. Step 4: Simplify right side
    20,164.21x = 237,500,299.32
  5. Step 5: Solve for x
    x = 237,500,299.32/20,164.21
  6. Step 6: Final answer
    x = 11,778.31

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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.