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Finding the Fourth Proportional to 15,828.82, 21,843.73 and 9,112

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Solution

The fourth proportional to 15,828.82, 21,843.73 and 9,112 is: 12,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.82 : 21,843.73 = 9,112 : x
  2. Step 2: Convert to fraction form
    15,828.82/21,843.73 = 9,112/x
  3. Step 3: Cross multiply
    15,828.82x = 21,843.73 × 9,112
  4. Step 4: Simplify right side
    15,828.82x = 199,040,067.76
  5. Step 5: Solve for x
    x = 199,040,067.76/15,828.82
  6. Step 6: Final answer
    x = 12,574.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.