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Finding the Fourth Proportional to 27,902.07, 41,817.49 and 13,078.33

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Solution

The fourth proportional to 27,902.07, 41,817.49 and 13,078.33 is: 19,600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.07 : 41,817.49 = 13,078.33 : x
  2. Step 2: Convert to fraction form
    27,902.07/41,817.49 = 13,078.33/x
  3. Step 3: Cross multiply
    27,902.07x = 41,817.49 × 13,078.33
  4. Step 4: Simplify right side
    27,902.07x = 546,902,796.75
  5. Step 5: Solve for x
    x = 546,902,796.75/27,902.07
  6. Step 6: Final answer
    x = 19,600.80

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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.