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Finding the Fourth Proportional to 19,489.67, 29,229.64 and 7,645.85

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Solution

The fourth proportional to 19,489.67, 29,229.64 and 7,645.85 is: 11,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.67 : 29,229.64 = 7,645.85 : x
  2. Step 2: Convert to fraction form
    19,489.67/29,229.64 = 7,645.85/x
  3. Step 3: Cross multiply
    19,489.67x = 29,229.64 × 7,645.85
  4. Step 4: Simplify right side
    19,489.67x = 223,485,442.99
  5. Step 5: Solve for x
    x = 223,485,442.99/19,489.67
  6. Step 6: Final answer
    x = 11,466.87

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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.