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Finding the Fourth Proportional to 13,268.99, 19,878.18 and 6,839.21

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Solution

The fourth proportional to 13,268.99, 19,878.18 and 6,839.21 is: 10,245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,268.99 : 19,878.18 = 6,839.21 : x
  2. Step 2: Convert to fraction form
    13,268.99/19,878.18 = 6,839.21/x
  3. Step 3: Cross multiply
    13,268.99x = 19,878.18 × 6,839.21
  4. Step 4: Simplify right side
    13,268.99x = 135,951,047.44
  5. Step 5: Solve for x
    x = 135,951,047.44/13,268.99
  6. Step 6: Final answer
    x = 10,245.77

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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.