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Finding the Fourth Proportional to 12,982.26, 17,924.07 and 9,992.82

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Solution

The fourth proportional to 12,982.26, 17,924.07 and 9,992.82 is: 13,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982.26 : 17,924.07 = 9,992.82 : x
  2. Step 2: Convert to fraction form
    12,982.26/17,924.07 = 9,992.82/x
  3. Step 3: Cross multiply
    12,982.26x = 17,924.07 × 9,992.82
  4. Step 4: Simplify right side
    12,982.26x = 179,112,005.18
  5. Step 5: Solve for x
    x = 179,112,005.18/12,982.26
  6. Step 6: Final answer
    x = 13,796.67

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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.