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Finding the Fourth Proportional to 12,879.14, 19,318.34 and 4,114.58

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Solution

The fourth proportional to 12,879.14, 19,318.34 and 4,114.58 is: 6,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.14 : 19,318.34 = 4,114.58 : x
  2. Step 2: Convert to fraction form
    12,879.14/19,318.34 = 4,114.58/x
  3. Step 3: Cross multiply
    12,879.14x = 19,318.34 × 4,114.58
  4. Step 4: Simplify right side
    12,879.14x = 79,486,738.23
  5. Step 5: Solve for x
    x = 79,486,738.23/12,879.14
  6. Step 6: Final answer
    x = 6,171.75

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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.