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Finding the Fourth Proportional to 19,984.20, 29,973.47 and 6,834.66

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Solution

The fourth proportional to 19,984.20, 29,973.47 and 6,834.66 is: 10,251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.20 : 29,973.47 = 6,834.66 : x
  2. Step 2: Convert to fraction form
    19,984.20/29,973.47 = 6,834.66/x
  3. Step 3: Cross multiply
    19,984.20x = 29,973.47 × 6,834.66
  4. Step 4: Simplify right side
    19,984.20x = 204,858,442.30
  5. Step 5: Solve for x
    x = 204,858,442.30/19,984.20
  6. Step 6: Final answer
    x = 10,251.02

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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.