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Finding the Fourth Proportional to 27,405.50, 41,083.58 and 9,863

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Solution

The fourth proportional to 27,405.50, 41,083.58 and 9,863 is: 14,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.50 : 41,083.58 = 9,863 : x
  2. Step 2: Convert to fraction form
    27,405.50/41,083.58 = 9,863/x
  3. Step 3: Cross multiply
    27,405.50x = 41,083.58 × 9,863
  4. Step 4: Simplify right side
    27,405.50x = 405,207,349.54
  5. Step 5: Solve for x
    x = 405,207,349.54/27,405.50
  6. Step 6: Final answer
    x = 14,785.62

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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.