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Finding the Fourth Proportional to 19,829.97, 29,745.09 and 6,682.32

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Solution

The fourth proportional to 19,829.97, 29,745.09 and 6,682.32 is: 10,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.97 : 29,745.09 = 6,682.32 : x
  2. Step 2: Convert to fraction form
    19,829.97/29,745.09 = 6,682.32/x
  3. Step 3: Cross multiply
    19,829.97x = 29,745.09 × 6,682.32
  4. Step 4: Simplify right side
    19,829.97x = 198,766,209.81
  5. Step 5: Solve for x
    x = 198,766,209.81/19,829.97
  6. Step 6: Final answer
    x = 10,023.53

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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.