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Finding the Fourth Proportional to 16,846.25, 25,277.90 and 11,227.76

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Solution

The fourth proportional to 16,846.25, 25,277.90 and 11,227.76 is: 16,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.25 : 25,277.90 = 11,227.76 : x
  2. Step 2: Convert to fraction form
    16,846.25/25,277.90 = 11,227.76/x
  3. Step 3: Cross multiply
    16,846.25x = 25,277.90 × 11,227.76
  4. Step 4: Simplify right side
    16,846.25x = 283,814,194.50
  5. Step 5: Solve for x
    x = 283,814,194.50/16,846.25
  6. Step 6: Final answer
    x = 16,847.32

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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.