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Finding the Fourth Proportional to 27,872.95, 41,795.07 and 11,228.51

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Solution

The fourth proportional to 27,872.95, 41,795.07 and 11,228.51 is: 16,836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.95 : 41,795.07 = 11,228.51 : x
  2. Step 2: Convert to fraction form
    27,872.95/41,795.07 = 11,228.51/x
  3. Step 3: Cross multiply
    27,872.95x = 41,795.07 × 11,228.51
  4. Step 4: Simplify right side
    27,872.95x = 469,296,361.45
  5. Step 5: Solve for x
    x = 469,296,361.45/27,872.95
  6. Step 6: Final answer
    x = 16,836.98

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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.