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Finding the Fourth Proportional to 12,853.68, 19,273.56 and 5,922

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Solution

The fourth proportional to 12,853.68, 19,273.56 and 5,922 is: 8,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.68 : 19,273.56 = 5,922 : x
  2. Step 2: Convert to fraction form
    12,853.68/19,273.56 = 5,922/x
  3. Step 3: Cross multiply
    12,853.68x = 19,273.56 × 5,922
  4. Step 4: Simplify right side
    12,853.68x = 114,138,022.32
  5. Step 5: Solve for x
    x = 114,138,022.32/12,853.68
  6. Step 6: Final answer
    x = 8,879.79

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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.