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Finding the Fourth Proportional to 13,889.84, 19,169.51 and 7,922.97

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Solution

The fourth proportional to 13,889.84, 19,169.51 and 7,922.97 is: 10,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,889.84 : 19,169.51 = 7,922.97 : x
  2. Step 2: Convert to fraction form
    13,889.84/19,169.51 = 7,922.97/x
  3. Step 3: Cross multiply
    13,889.84x = 19,169.51 × 7,922.97
  4. Step 4: Simplify right side
    13,889.84x = 151,879,413.03
  5. Step 5: Solve for x
    x = 151,879,413.03/13,889.84
  6. Step 6: Final answer
    x = 10,934.57

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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.