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Finding the Fourth Proportional to 11,879.82, 17,820.30 and 3,114.74

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Solution

The fourth proportional to 11,879.82, 17,820.30 and 3,114.74 is: 4,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.82 : 17,820.30 = 3,114.74 : x
  2. Step 2: Convert to fraction form
    11,879.82/17,820.30 = 3,114.74/x
  3. Step 3: Cross multiply
    11,879.82x = 17,820.30 × 3,114.74
  4. Step 4: Simplify right side
    11,879.82x = 55,505,601.22
  5. Step 5: Solve for x
    x = 55,505,601.22/11,879.82
  6. Step 6: Final answer
    x = 4,672.26

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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.