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Finding the Fourth Proportional to 18,786.78, 25,923.57 and 10,828.95

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Solution

The fourth proportional to 18,786.78, 25,923.57 and 10,828.95 is: 14,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,786.78 : 25,923.57 = 10,828.95 : x
  2. Step 2: Convert to fraction form
    18,786.78/25,923.57 = 10,828.95/x
  3. Step 3: Cross multiply
    18,786.78x = 25,923.57 × 10,828.95
  4. Step 4: Simplify right side
    18,786.78x = 280,725,043.35
  5. Step 5: Solve for x
    x = 280,725,043.35/18,786.78
  6. Step 6: Final answer
    x = 14,942.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.