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Finding the Fourth Proportional to 27,798, 41,662.44 and 12,199.92

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Solution

The fourth proportional to 27,798, 41,662.44 and 12,199.92 is: 18,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798 : 41,662.44 = 12,199.92 : x
  2. Step 2: Convert to fraction form
    27,798/41,662.44 = 12,199.92/x
  3. Step 3: Cross multiply
    27,798x = 41,662.44 × 12,199.92
  4. Step 4: Simplify right side
    27,798x = 508,278,435.00
  5. Step 5: Solve for x
    x = 508,278,435.00/27,798
  6. Step 6: Final answer
    x = 18,284.71

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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.