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Finding the Fourth Proportional to 27,924.86, 41,893.46 and 9,204.14

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Solution

The fourth proportional to 27,924.86, 41,893.46 and 9,204.14 is: 13,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,924.86 : 41,893.46 = 9,204.14 : x
  2. Step 2: Convert to fraction form
    27,924.86/41,893.46 = 9,204.14/x
  3. Step 3: Cross multiply
    27,924.86x = 41,893.46 × 9,204.14
  4. Step 4: Simplify right side
    27,924.86x = 385,593,015.44
  5. Step 5: Solve for x
    x = 385,593,015.44/27,924.86
  6. Step 6: Final answer
    x = 13,808.24

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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.