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Finding the Fourth Proportional to 12,093.44, 16,756.15 and 11,831

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Solution

The fourth proportional to 12,093.44, 16,756.15 and 11,831 is: 16,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.44 : 16,756.15 = 11,831 : x
  2. Step 2: Convert to fraction form
    12,093.44/16,756.15 = 11,831/x
  3. Step 3: Cross multiply
    12,093.44x = 16,756.15 × 11,831
  4. Step 4: Simplify right side
    12,093.44x = 198,242,010.65
  5. Step 5: Solve for x
    x = 198,242,010.65/12,093.44
  6. Step 6: Final answer
    x = 16,392.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.