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Finding the Fourth Proportional to 27,604.94, 41,413.50 and 10,074.69

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Solution

The fourth proportional to 27,604.94, 41,413.50 and 10,074.69 is: 15,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,604.94 : 41,413.50 = 10,074.69 : x
  2. Step 2: Convert to fraction form
    27,604.94/41,413.50 = 10,074.69/x
  3. Step 3: Cross multiply
    27,604.94x = 41,413.50 × 10,074.69
  4. Step 4: Simplify right side
    27,604.94x = 417,228,174.32
  5. Step 5: Solve for x
    x = 417,228,174.32/27,604.94
  6. Step 6: Final answer
    x = 15,114.26

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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.