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Finding the Fourth Proportional to 27,846.81, 41,781.15 and 12,253.50

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Solution

The fourth proportional to 27,846.81, 41,781.15 and 12,253.50 is: 18,385.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.81 : 41,781.15 = 12,253.50 : x
  2. Step 2: Convert to fraction form
    27,846.81/41,781.15 = 12,253.50/x
  3. Step 3: Cross multiply
    27,846.81x = 41,781.15 × 12,253.50
  4. Step 4: Simplify right side
    27,846.81x = 511,965,321.53
  5. Step 5: Solve for x
    x = 511,965,321.53/27,846.81
  6. Step 6: Final answer
    x = 18,385.06

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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.