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Finding the Fourth Proportional to 14,231.39, 21,347.10 and 3,843.14

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Solution

The fourth proportional to 14,231.39, 21,347.10 and 3,843.14 is: 5,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.39 : 21,347.10 = 3,843.14 : x
  2. Step 2: Convert to fraction form
    14,231.39/21,347.10 = 3,843.14/x
  3. Step 3: Cross multiply
    14,231.39x = 21,347.10 × 3,843.14
  4. Step 4: Simplify right side
    14,231.39x = 82,039,787.16
  5. Step 5: Solve for x
    x = 82,039,787.16/14,231.39
  6. Step 6: Final answer
    x = 5,764.71

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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.