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Finding the Fourth Proportional to 19,975.14, 29,961.36 and 6,827.22

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Solution

The fourth proportional to 19,975.14, 29,961.36 and 6,827.22 is: 10,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,975.14 : 29,961.36 = 6,827.22 : x
  2. Step 2: Convert to fraction form
    19,975.14/29,961.36 = 6,827.22/x
  3. Step 3: Cross multiply
    19,975.14x = 29,961.36 × 6,827.22
  4. Step 4: Simplify right side
    19,975.14x = 204,552,796.22
  5. Step 5: Solve for x
    x = 204,552,796.22/19,975.14
  6. Step 6: Final answer
    x = 10,240.37

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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.