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Finding the Fourth Proportional to 11,969.82, 16,525.98 and 8,199.36

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Solution

The fourth proportional to 11,969.82, 16,525.98 and 8,199.36 is: 11,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.82 : 16,525.98 = 8,199.36 : x
  2. Step 2: Convert to fraction form
    11,969.82/16,525.98 = 8,199.36/x
  3. Step 3: Cross multiply
    11,969.82x = 16,525.98 × 8,199.36
  4. Step 4: Simplify right side
    11,969.82x = 135,502,459.37
  5. Step 5: Solve for x
    x = 135,502,459.37/11,969.82
  6. Step 6: Final answer
    x = 11,320.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.