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Finding the Fourth Proportional to 20,104.97, 30,157.54 and 8,409.99

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Solution

The fourth proportional to 20,104.97, 30,157.54 and 8,409.99 is: 12,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104.97 : 30,157.54 = 8,409.99 : x
  2. Step 2: Convert to fraction form
    20,104.97/30,157.54 = 8,409.99/x
  3. Step 3: Cross multiply
    20,104.97x = 30,157.54 × 8,409.99
  4. Step 4: Simplify right side
    20,104.97x = 253,624,609.82
  5. Step 5: Solve for x
    x = 253,624,609.82/20,104.97
  6. Step 6: Final answer
    x = 12,615.02

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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.