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Finding the Fourth Proportional to 11,832.98, 17,761.73 and 8,716.50

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Solution

The fourth proportional to 11,832.98, 17,761.73 and 8,716.50 is: 13,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.98 : 17,761.73 = 8,716.50 : x
  2. Step 2: Convert to fraction form
    11,832.98/17,761.73 = 8,716.50/x
  3. Step 3: Cross multiply
    11,832.98x = 17,761.73 × 8,716.50
  4. Step 4: Simplify right side
    11,832.98x = 154,820,075.96
  5. Step 5: Solve for x
    x = 154,820,075.96/11,832.98
  6. Step 6: Final answer
    x = 13,083.78

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Why These Related Problems?

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