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Finding the Fourth Proportional to 11,917.77, 16,413.21 and 11,659.49

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Solution

The fourth proportional to 11,917.77, 16,413.21 and 11,659.49 is: 16,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.77 : 16,413.21 = 11,659.49 : x
  2. Step 2: Convert to fraction form
    11,917.77/16,413.21 = 11,659.49/x
  3. Step 3: Cross multiply
    11,917.77x = 16,413.21 × 11,659.49
  4. Step 4: Simplify right side
    11,917.77x = 191,369,575.80
  5. Step 5: Solve for x
    x = 191,369,575.80/11,917.77
  6. Step 6: Final answer
    x = 16,057.50

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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.