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Finding the Fourth Proportional to 16,786.24, 25,144.80 and 9,844

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Solution

The fourth proportional to 16,786.24, 25,144.80 and 9,844 is: 14,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,786.24 : 25,144.80 = 9,844 : x
  2. Step 2: Convert to fraction form
    16,786.24/25,144.80 = 9,844/x
  3. Step 3: Cross multiply
    16,786.24x = 25,144.80 × 9,844
  4. Step 4: Simplify right side
    16,786.24x = 247,525,411.20
  5. Step 5: Solve for x
    x = 247,525,411.20/16,786.24
  6. Step 6: Final answer
    x = 14,745.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.