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Finding the Fourth Proportional to 19,511.57, 29,241.83 and 7,832.99

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Solution

The fourth proportional to 19,511.57, 29,241.83 and 7,832.99 is: 11,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,511.57 : 29,241.83 = 7,832.99 : x
  2. Step 2: Convert to fraction form
    19,511.57/29,241.83 = 7,832.99/x
  3. Step 3: Cross multiply
    19,511.57x = 29,241.83 × 7,832.99
  4. Step 4: Simplify right side
    19,511.57x = 229,050,961.97
  5. Step 5: Solve for x
    x = 229,050,961.97/19,511.57
  6. Step 6: Final answer
    x = 11,739.24

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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.