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Finding the Fourth Proportional to 20,984.37, 31,473.86 and 6,194.85

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Solution

The fourth proportional to 20,984.37, 31,473.86 and 6,194.85 is: 9,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984.37 : 31,473.86 = 6,194.85 : x
  2. Step 2: Convert to fraction form
    20,984.37/31,473.86 = 6,194.85/x
  3. Step 3: Cross multiply
    20,984.37x = 31,473.86 × 6,194.85
  4. Step 4: Simplify right side
    20,984.37x = 194,975,810.65
  5. Step 5: Solve for x
    x = 194,975,810.65/20,984.37
  6. Step 6: Final answer
    x = 9,291.48

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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.