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Finding the Fourth Proportional to 14,067.96, 19,413.72 and 7,780.38

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Solution

The fourth proportional to 14,067.96, 19,413.72 and 7,780.38 is: 10,736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.96 : 19,413.72 = 7,780.38 : x
  2. Step 2: Convert to fraction form
    14,067.96/19,413.72 = 7,780.38/x
  3. Step 3: Cross multiply
    14,067.96x = 19,413.72 × 7,780.38
  4. Step 4: Simplify right side
    14,067.96x = 151,046,118.81
  5. Step 5: Solve for x
    x = 151,046,118.81/14,067.96
  6. Step 6: Final answer
    x = 10,736.89

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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.