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Finding the Fourth Proportional to 19,305.81, 28,937.25 and 8,221.77

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Solution

The fourth proportional to 19,305.81, 28,937.25 and 8,221.77 is: 12,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305.81 : 28,937.25 = 8,221.77 : x
  2. Step 2: Convert to fraction form
    19,305.81/28,937.25 = 8,221.77/x
  3. Step 3: Cross multiply
    19,305.81x = 28,937.25 × 8,221.77
  4. Step 4: Simplify right side
    19,305.81x = 237,915,413.93
  5. Step 5: Solve for x
    x = 237,915,413.93/19,305.81
  6. Step 6: Final answer
    x = 12,323.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.