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Finding the Fourth Proportional to 27,405.88, 41,096 and 9,873.40

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Solution

The fourth proportional to 27,405.88, 41,096 and 9,873.40 is: 14,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.88 : 41,096 = 9,873.40 : x
  2. Step 2: Convert to fraction form
    27,405.88/41,096 = 9,873.40/x
  3. Step 3: Cross multiply
    27,405.88x = 41,096 × 9,873.40
  4. Step 4: Simplify right side
    27,405.88x = 405,757,246.40
  5. Step 5: Solve for x
    x = 405,757,246.40/27,405.88
  6. Step 6: Final answer
    x = 14,805.48

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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.