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Finding the Fourth Proportional to 26,530.49, 39,795.78 and 6,809.09

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Solution

The fourth proportional to 26,530.49, 39,795.78 and 6,809.09 is: 10,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,530.49 : 39,795.78 = 6,809.09 : x
  2. Step 2: Convert to fraction form
    26,530.49/39,795.78 = 6,809.09/x
  3. Step 3: Cross multiply
    26,530.49x = 39,795.78 × 6,809.09
  4. Step 4: Simplify right side
    26,530.49x = 270,972,848.66
  5. Step 5: Solve for x
    x = 270,972,848.66/26,530.49
  6. Step 6: Final answer
    x = 10,213.64

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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.