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Finding the Fourth Proportional to 14,067, 19,413.07 and 7,779.38

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Solution

The fourth proportional to 14,067, 19,413.07 and 7,779.38 is: 10,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067 : 19,413.07 = 7,779.38 : x
  2. Step 2: Convert to fraction form
    14,067/19,413.07 = 7,779.38/x
  3. Step 3: Cross multiply
    14,067x = 19,413.07 × 7,779.38
  4. Step 4: Simplify right side
    14,067x = 151,021,531.98
  5. Step 5: Solve for x
    x = 151,021,531.98/14,067
  6. Step 6: Final answer
    x = 10,735.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.