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Finding the Fourth Proportional to 11,825.31, 17,732.21 and 6,281.31

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Solution

The fourth proportional to 11,825.31, 17,732.21 and 6,281.31 is: 9,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.31 : 17,732.21 = 6,281.31 : x
  2. Step 2: Convert to fraction form
    11,825.31/17,732.21 = 6,281.31/x
  3. Step 3: Cross multiply
    11,825.31x = 17,732.21 × 6,281.31
  4. Step 4: Simplify right side
    11,825.31x = 111,381,476.59
  5. Step 5: Solve for x
    x = 111,381,476.59/11,825.31
  6. Step 6: Final answer
    x = 9,418.91

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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.