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Finding the Fourth Proportional to 12,774.69, 19,155.56 and 5,843.25

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Solution

The fourth proportional to 12,774.69, 19,155.56 and 5,843.25 is: 8,761.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.69 : 19,155.56 = 5,843.25 : x
  2. Step 2: Convert to fraction form
    12,774.69/19,155.56 = 5,843.25/x
  3. Step 3: Cross multiply
    12,774.69x = 19,155.56 × 5,843.25
  4. Step 4: Simplify right side
    12,774.69x = 111,930,696.75
  5. Step 5: Solve for x
    x = 111,930,696.75/12,774.69
  6. Step 6: Final answer
    x = 8,761.91

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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.