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Finding the Fourth Proportional to 19,984.40, 29,976.60 and 6,834.80

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Solution

The fourth proportional to 19,984.40, 29,976.60 and 6,834.80 is: 10,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.40 : 29,976.60 = 6,834.80 : x
  2. Step 2: Convert to fraction form
    19,984.40/29,976.60 = 6,834.80/x
  3. Step 3: Cross multiply
    19,984.40x = 29,976.60 × 6,834.80
  4. Step 4: Simplify right side
    19,984.40x = 204,884,065.68
  5. Step 5: Solve for x
    x = 204,884,065.68/19,984.40
  6. Step 6: Final answer
    x = 10,252.20

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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.