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Finding the Fourth Proportional to 19,874.82, 27,427.26 and 10,922.24

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Solution

The fourth proportional to 19,874.82, 27,427.26 and 10,922.24 is: 15,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.82 : 27,427.26 = 10,922.24 : x
  2. Step 2: Convert to fraction form
    19,874.82/27,427.26 = 10,922.24/x
  3. Step 3: Cross multiply
    19,874.82x = 27,427.26 × 10,922.24
  4. Step 4: Simplify right side
    19,874.82x = 299,567,164.35
  5. Step 5: Solve for x
    x = 299,567,164.35/19,874.82
  6. Step 6: Final answer
    x = 15,072.70

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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.