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Finding the Fourth Proportional to 19,975.36, 29,963.04 and 6,827.84

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Solution

The fourth proportional to 19,975.36, 29,963.04 and 6,827.84 is: 10,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,975.36 : 29,963.04 = 6,827.84 : x
  2. Step 2: Convert to fraction form
    19,975.36/29,963.04 = 6,827.84/x
  3. Step 3: Cross multiply
    19,975.36x = 29,963.04 × 6,827.84
  4. Step 4: Simplify right side
    19,975.36x = 204,582,843.03
  5. Step 5: Solve for x
    x = 204,582,843.03/19,975.36
  6. Step 6: Final answer
    x = 10,241.76

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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.