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Finding the Fourth Proportional to 27,538.54, 41,310.52 and 8,813.86

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Solution

The fourth proportional to 27,538.54, 41,310.52 and 8,813.86 is: 13,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,538.54 : 41,310.52 = 8,813.86 : x
  2. Step 2: Convert to fraction form
    27,538.54/41,310.52 = 8,813.86/x
  3. Step 3: Cross multiply
    27,538.54x = 41,310.52 × 8,813.86
  4. Step 4: Simplify right side
    27,538.54x = 364,105,014.50
  5. Step 5: Solve for x
    x = 364,105,014.50/27,538.54
  6. Step 6: Final answer
    x = 13,221.65

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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.