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Finding the Fourth Proportional to 27,413.26, 37,830.07 and 15,478.94

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Solution

The fourth proportional to 27,413.26, 37,830.07 and 15,478.94 is: 21,360.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.26 : 37,830.07 = 15,478.94 : x
  2. Step 2: Convert to fraction form
    27,413.26/37,830.07 = 15,478.94/x
  3. Step 3: Cross multiply
    27,413.26x = 37,830.07 × 15,478.94
  4. Step 4: Simplify right side
    27,413.26x = 585,569,383.73
  5. Step 5: Solve for x
    x = 585,569,383.73/27,413.26
  6. Step 6: Final answer
    x = 21,360.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.