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Finding the Fourth Proportional to 11,991.67, 16,533.79 and 9,859.75

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Solution

The fourth proportional to 11,991.67, 16,533.79 and 9,859.75 is: 13,594.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.67 : 16,533.79 = 9,859.75 : x
  2. Step 2: Convert to fraction form
    11,991.67/16,533.79 = 9,859.75/x
  3. Step 3: Cross multiply
    11,991.67x = 16,533.79 × 9,859.75
  4. Step 4: Simplify right side
    11,991.67x = 163,019,035.95
  5. Step 5: Solve for x
    x = 163,019,035.95/11,991.67
  6. Step 6: Final answer
    x = 13,594.36

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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.