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Finding the Fourth Proportional to 27,413.70, 41,121.90 and 14,291.70

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Solution

The fourth proportional to 27,413.70, 41,121.90 and 14,291.70 is: 21,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.70 : 41,121.90 = 14,291.70 : x
  2. Step 2: Convert to fraction form
    27,413.70/41,121.90 = 14,291.70/x
  3. Step 3: Cross multiply
    27,413.70x = 41,121.90 × 14,291.70
  4. Step 4: Simplify right side
    27,413.70x = 587,701,858.23
  5. Step 5: Solve for x
    x = 587,701,858.23/27,413.70
  6. Step 6: Final answer
    x = 21,438.25

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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.