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Finding the Fourth Proportional to 14,413.50, 19,890.63 and 7,789.50

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Solution

The fourth proportional to 14,413.50, 19,890.63 and 7,789.50 is: 10,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.50 : 19,890.63 = 7,789.50 : x
  2. Step 2: Convert to fraction form
    14,413.50/19,890.63 = 7,789.50/x
  3. Step 3: Cross multiply
    14,413.50x = 19,890.63 × 7,789.50
  4. Step 4: Simplify right side
    14,413.50x = 154,938,062.39
  5. Step 5: Solve for x
    x = 154,938,062.39/14,413.50
  6. Step 6: Final answer
    x = 10,749.51

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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.