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Finding the Fourth Proportional to 27,676.56, 41,511.76 and 9,906.52

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Solution

The fourth proportional to 27,676.56, 41,511.76 and 9,906.52 is: 14,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.56 : 41,511.76 = 9,906.52 : x
  2. Step 2: Convert to fraction form
    27,676.56/41,511.76 = 9,906.52/x
  3. Step 3: Cross multiply
    27,676.56x = 41,511.76 × 9,906.52
  4. Step 4: Simplify right side
    27,676.56x = 411,237,080.68
  5. Step 5: Solve for x
    x = 411,237,080.68/27,676.56
  6. Step 6: Final answer
    x = 14,858.68

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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.