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Finding the Fourth Proportional to 14,413.75, 19,890.98 and 7,789.75

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Solution

The fourth proportional to 14,413.75, 19,890.98 and 7,789.75 is: 10,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.75 : 19,890.98 = 7,789.75 : x
  2. Step 2: Convert to fraction form
    14,413.75/19,890.98 = 7,789.75/x
  3. Step 3: Cross multiply
    14,413.75x = 19,890.98 × 7,789.75
  4. Step 4: Simplify right side
    14,413.75x = 154,945,761.46
  5. Step 5: Solve for x
    x = 154,945,761.46/14,413.75
  6. Step 6: Final answer
    x = 10,749.86

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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.