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Finding the Fourth Proportional to 27,873, 41,813.40 and 8,152.98

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Solution

The fourth proportional to 27,873, 41,813.40 and 8,152.98 is: 12,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873 : 41,813.40 = 8,152.98 : x
  2. Step 2: Convert to fraction form
    27,873/41,813.40 = 8,152.98/x
  3. Step 3: Cross multiply
    27,873x = 41,813.40 × 8,152.98
  4. Step 4: Simplify right side
    27,873x = 340,903,813.93
  5. Step 5: Solve for x
    x = 340,903,813.93/27,873
  6. Step 6: Final answer
    x = 12,230.61

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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.