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Finding the Fourth Proportional to 13,241.26, 19,845.00 and 6,205.75

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Solution

The fourth proportional to 13,241.26, 19,845.00 and 6,205.75 is: 9,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.26 : 19,845.00 = 6,205.75 : x
  2. Step 2: Convert to fraction form
    13,241.26/19,845.00 = 6,205.75/x
  3. Step 3: Cross multiply
    13,241.26x = 19,845.00 × 6,205.75
  4. Step 4: Simplify right side
    13,241.26x = 123,153,097.50
  5. Step 5: Solve for x
    x = 123,153,097.50/13,241.26
  6. Step 6: Final answer
    x = 9,300.71

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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.