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Finding the Fourth Proportional to 27,388.74, 41,083.11 and 9,858.12

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Solution

The fourth proportional to 27,388.74, 41,083.11 and 9,858.12 is: 14,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,388.74 : 41,083.11 = 9,858.12 : x
  2. Step 2: Convert to fraction form
    27,388.74/41,083.11 = 9,858.12/x
  3. Step 3: Cross multiply
    27,388.74x = 41,083.11 × 9,858.12
  4. Step 4: Simplify right side
    27,388.74x = 405,002,228.35
  5. Step 5: Solve for x
    x = 405,002,228.35/27,388.74
  6. Step 6: Final answer
    x = 14,787.18

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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.