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Finding the Fourth Proportional to 27,608.70, 41,413.05 and 9,140.70

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Solution

The fourth proportional to 27,608.70, 41,413.05 and 9,140.70 is: 13,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608.70 : 41,413.05 = 9,140.70 : x
  2. Step 2: Convert to fraction form
    27,608.70/41,413.05 = 9,140.70/x
  3. Step 3: Cross multiply
    27,608.70x = 41,413.05 × 9,140.70
  4. Step 4: Simplify right side
    27,608.70x = 378,544,266.14
  5. Step 5: Solve for x
    x = 378,544,266.14/27,608.70
  6. Step 6: Final answer
    x = 13,711.05

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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.