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Finding the Fourth Proportional to 20,834.65, 31,245.49 and 6,980.41

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Solution

The fourth proportional to 20,834.65, 31,245.49 and 6,980.41 is: 10,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,834.65 : 31,245.49 = 6,980.41 : x
  2. Step 2: Convert to fraction form
    20,834.65/31,245.49 = 6,980.41/x
  3. Step 3: Cross multiply
    20,834.65x = 31,245.49 × 6,980.41
  4. Step 4: Simplify right side
    20,834.65x = 218,106,330.85
  5. Step 5: Solve for x
    x = 218,106,330.85/20,834.65
  6. Step 6: Final answer
    x = 10,468.44

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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.