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Finding the Fourth Proportional to 27,921.02, 41,872.52 and 9,196.60

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Solution

The fourth proportional to 27,921.02, 41,872.52 and 9,196.60 is: 13,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,921.02 : 41,872.52 = 9,196.60 : x
  2. Step 2: Convert to fraction form
    27,921.02/41,872.52 = 9,196.60/x
  3. Step 3: Cross multiply
    27,921.02x = 41,872.52 × 9,196.60
  4. Step 4: Simplify right side
    27,921.02x = 385,084,817.43
  5. Step 5: Solve for x
    x = 385,084,817.43/27,921.02
  6. Step 6: Final answer
    x = 13,791.93

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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.