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Finding the Fourth Proportional to 13,850.79, 20,761.82 and 6,449.16

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Solution

The fourth proportional to 13,850.79, 20,761.82 and 6,449.16 is: 9,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.79 : 20,761.82 = 6,449.16 : x
  2. Step 2: Convert to fraction form
    13,850.79/20,761.82 = 6,449.16/x
  3. Step 3: Cross multiply
    13,850.79x = 20,761.82 × 6,449.16
  4. Step 4: Simplify right side
    13,850.79x = 133,896,368.87
  5. Step 5: Solve for x
    x = 133,896,368.87/13,850.79
  6. Step 6: Final answer
    x = 9,667.06

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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.