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Finding the Fourth Proportional to 20,999.20, 31,498.80 and 12,704.80

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Solution

The fourth proportional to 20,999.20, 31,498.80 and 12,704.80 is: 19,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999.20 : 31,498.80 = 12,704.80 : x
  2. Step 2: Convert to fraction form
    20,999.20/31,498.80 = 12,704.80/x
  3. Step 3: Cross multiply
    20,999.20x = 31,498.80 × 12,704.80
  4. Step 4: Simplify right side
    20,999.20x = 400,185,954.24
  5. Step 5: Solve for x
    x = 400,185,954.24/20,999.20
  6. Step 6: Final answer
    x = 19,057.20

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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.