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Finding the Fourth Proportional to 13,196.46, 19,796.87 and 6,268.62

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Solution

The fourth proportional to 13,196.46, 19,796.87 and 6,268.62 is: 9,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.46 : 19,796.87 = 6,268.62 : x
  2. Step 2: Convert to fraction form
    13,196.46/19,796.87 = 6,268.62/x
  3. Step 3: Cross multiply
    13,196.46x = 19,796.87 × 6,268.62
  4. Step 4: Simplify right side
    13,196.46x = 124,099,055.22
  5. Step 5: Solve for x
    x = 124,099,055.22/13,196.46
  6. Step 6: Final answer
    x = 9,403.97

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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.