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Finding the Fourth Proportional to 12,093.68, 16,687.14 and 7,379.48

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Solution

The fourth proportional to 12,093.68, 16,687.14 and 7,379.48 is: 10,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.68 : 16,687.14 = 7,379.48 : x
  2. Step 2: Convert to fraction form
    12,093.68/16,687.14 = 7,379.48/x
  3. Step 3: Cross multiply
    12,093.68x = 16,687.14 × 7,379.48
  4. Step 4: Simplify right side
    12,093.68x = 123,142,415.89
  5. Step 5: Solve for x
    x = 123,142,415.89/12,093.68
  6. Step 6: Final answer
    x = 10,182.38

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Why These Related Problems?

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