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Finding the Fourth Proportional to 12,796.38, 19,201.86 and 4,478.19

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Solution

The fourth proportional to 12,796.38, 19,201.86 and 4,478.19 is: 6,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.38 : 19,201.86 = 4,478.19 : x
  2. Step 2: Convert to fraction form
    12,796.38/19,201.86 = 4,478.19/x
  3. Step 3: Cross multiply
    12,796.38x = 19,201.86 × 4,478.19
  4. Step 4: Simplify right side
    12,796.38x = 85,989,505.43
  5. Step 5: Solve for x
    x = 85,989,505.43/12,796.38
  6. Step 6: Final answer
    x = 6,719.83

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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.