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Finding the Fourth Proportional to 18,361.72, 27,537.66 and 7,971

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Solution

The fourth proportional to 18,361.72, 27,537.66 and 7,971 is: 11,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,361.72 : 27,537.66 = 7,971 : x
  2. Step 2: Convert to fraction form
    18,361.72/27,537.66 = 7,971/x
  3. Step 3: Cross multiply
    18,361.72x = 27,537.66 × 7,971
  4. Step 4: Simplify right side
    18,361.72x = 219,502,687.86
  5. Step 5: Solve for x
    x = 219,502,687.86/18,361.72
  6. Step 6: Final answer
    x = 11,954.36

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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.