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Finding the Fourth Proportional to 20,704.56, 31,057.20 and 6,853.92

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Solution

The fourth proportional to 20,704.56, 31,057.20 and 6,853.92 is: 10,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.56 : 31,057.20 = 6,853.92 : x
  2. Step 2: Convert to fraction form
    20,704.56/31,057.20 = 6,853.92/x
  3. Step 3: Cross multiply
    20,704.56x = 31,057.20 × 6,853.92
  4. Step 4: Simplify right side
    20,704.56x = 212,863,564.22
  5. Step 5: Solve for x
    x = 212,863,564.22/20,704.56
  6. Step 6: Final answer
    x = 10,281.00

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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.