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Finding the Fourth Proportional to 11,823.26, 17,737.92 and 4,427.82

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Solution

The fourth proportional to 11,823.26, 17,737.92 and 4,427.82 is: 6,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823.26 : 17,737.92 = 4,427.82 : x
  2. Step 2: Convert to fraction form
    11,823.26/17,737.92 = 4,427.82/x
  3. Step 3: Cross multiply
    11,823.26x = 17,737.92 × 4,427.82
  4. Step 4: Simplify right side
    11,823.26x = 78,540,316.93
  5. Step 5: Solve for x
    x = 78,540,316.93/11,823.26
  6. Step 6: Final answer
    x = 6,642.86

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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.