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Finding the Fourth Proportional to 27,409.94, 41,116.26 and 8,941.94

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Solution

The fourth proportional to 27,409.94, 41,116.26 and 8,941.94 is: 13,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.94 : 41,116.26 = 8,941.94 : x
  2. Step 2: Convert to fraction form
    27,409.94/41,116.26 = 8,941.94/x
  3. Step 3: Cross multiply
    27,409.94x = 41,116.26 × 8,941.94
  4. Step 4: Simplify right side
    27,409.94x = 367,659,129.94
  5. Step 5: Solve for x
    x = 367,659,129.94/27,409.94
  6. Step 6: Final answer
    x = 13,413.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.