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Finding the Fourth Proportional to 11,969.82, 17,927.99 and 8,675.35

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Solution

The fourth proportional to 11,969.82, 17,927.99 and 8,675.35 is: 12,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.82 : 17,927.99 = 8,675.35 : x
  2. Step 2: Convert to fraction form
    11,969.82/17,927.99 = 8,675.35/x
  3. Step 3: Cross multiply
    11,969.82x = 17,927.99 × 8,675.35
  4. Step 4: Simplify right side
    11,969.82x = 155,531,564.91
  5. Step 5: Solve for x
    x = 155,531,564.91/11,969.82
  6. Step 6: Final answer
    x = 12,993.64

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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.