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Finding the Fourth Proportional to 27,684.88, 41,521.74 and 7,958.80

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Solution

The fourth proportional to 27,684.88, 41,521.74 and 7,958.80 is: 11,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.88 : 41,521.74 = 7,958.80 : x
  2. Step 2: Convert to fraction form
    27,684.88/41,521.74 = 7,958.80/x
  3. Step 3: Cross multiply
    27,684.88x = 41,521.74 × 7,958.80
  4. Step 4: Simplify right side
    27,684.88x = 330,463,224.31
  5. Step 5: Solve for x
    x = 330,463,224.31/27,684.88
  6. Step 6: Final answer
    x = 11,936.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.