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Finding the Fourth Proportional to 14,211.25, 19,609.90 and 8,161.16

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Solution

The fourth proportional to 14,211.25, 19,609.90 and 8,161.16 is: 11,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.25 : 19,609.90 = 8,161.16 : x
  2. Step 2: Convert to fraction form
    14,211.25/19,609.90 = 8,161.16/x
  3. Step 3: Cross multiply
    14,211.25x = 19,609.90 × 8,161.16
  4. Step 4: Simplify right side
    14,211.25x = 160,039,413.03
  5. Step 5: Solve for x
    x = 160,039,413.03/14,211.25
  6. Step 6: Final answer
    x = 11,261.46

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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.