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Finding the Fourth Proportional to 12,876.74, 19,288.23 and 8,194.33

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Solution

The fourth proportional to 12,876.74, 19,288.23 and 8,194.33 is: 12,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.74 : 19,288.23 = 8,194.33 : x
  2. Step 2: Convert to fraction form
    12,876.74/19,288.23 = 8,194.33/x
  3. Step 3: Cross multiply
    12,876.74x = 19,288.23 × 8,194.33
  4. Step 4: Simplify right side
    12,876.74x = 158,054,115.12
  5. Step 5: Solve for x
    x = 158,054,115.12/12,876.74
  6. Step 6: Final answer
    x = 12,274.39

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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.