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Finding the Fourth Proportional to 27,967.44, 41,941.17 and 9,244.02

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Solution

The fourth proportional to 27,967.44, 41,941.17 and 9,244.02 is: 13,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.44 : 41,941.17 = 9,244.02 : x
  2. Step 2: Convert to fraction form
    27,967.44/41,941.17 = 9,244.02/x
  3. Step 3: Cross multiply
    27,967.44x = 41,941.17 × 9,244.02
  4. Step 4: Simplify right side
    27,967.44x = 387,705,014.30
  5. Step 5: Solve for x
    x = 387,705,014.30/27,967.44
  6. Step 6: Final answer
    x = 13,862.73

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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.