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Finding the Fourth Proportional to 27,579.62, 41,361.73 and 9,808.02

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Solution

The fourth proportional to 27,579.62, 41,361.73 and 9,808.02 is: 14,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,579.62 : 41,361.73 = 9,808.02 : x
  2. Step 2: Convert to fraction form
    27,579.62/41,361.73 = 9,808.02/x
  3. Step 3: Cross multiply
    27,579.62x = 41,361.73 × 9,808.02
  4. Step 4: Simplify right side
    27,579.62x = 405,676,675.07
  5. Step 5: Solve for x
    x = 405,676,675.07/27,579.62
  6. Step 6: Final answer
    x = 14,709.29

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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.