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Finding the Fourth Proportional to 12,151.98, 16,660.37 and 11,930.56

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Solution

The fourth proportional to 12,151.98, 16,660.37 and 11,930.56 is: 16,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.98 : 16,660.37 = 11,930.56 : x
  2. Step 2: Convert to fraction form
    12,151.98/16,660.37 = 11,930.56/x
  3. Step 3: Cross multiply
    12,151.98x = 16,660.37 × 11,930.56
  4. Step 4: Simplify right side
    12,151.98x = 198,767,532.08
  5. Step 5: Solve for x
    x = 198,767,532.08/12,151.98
  6. Step 6: Final answer
    x = 16,356.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.