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Finding the Fourth Proportional to 20,704.50, 31,058.37 and 6,853.50

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Solution

The fourth proportional to 20,704.50, 31,058.37 and 6,853.50 is: 10,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.50 : 31,058.37 = 6,853.50 : x
  2. Step 2: Convert to fraction form
    20,704.50/31,058.37 = 6,853.50/x
  3. Step 3: Cross multiply
    20,704.50x = 31,058.37 × 6,853.50
  4. Step 4: Simplify right side
    20,704.50x = 212,858,538.80
  5. Step 5: Solve for x
    x = 212,858,538.80/20,704.50
  6. Step 6: Final answer
    x = 10,280.79

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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.