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Finding the Fourth Proportional to 11,999, 16,584.84 and 10,571.78

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Solution

The fourth proportional to 11,999, 16,584.84 and 10,571.78 is: 14,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999 : 16,584.84 = 10,571.78 : x
  2. Step 2: Convert to fraction form
    11,999/16,584.84 = 10,571.78/x
  3. Step 3: Cross multiply
    11,999x = 16,584.84 × 10,571.78
  4. Step 4: Simplify right side
    11,999x = 175,331,279.82
  5. Step 5: Solve for x
    x = 175,331,279.82/11,999
  6. Step 6: Final answer
    x = 14,612.16

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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.