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Finding the Fourth Proportional to 12,309.50, 16,986.02 and 7,273.94

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Solution

The fourth proportional to 12,309.50, 16,986.02 and 7,273.94 is: 10,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.50 : 16,986.02 = 7,273.94 : x
  2. Step 2: Convert to fraction form
    12,309.50/16,986.02 = 7,273.94/x
  3. Step 3: Cross multiply
    12,309.50x = 16,986.02 × 7,273.94
  4. Step 4: Simplify right side
    12,309.50x = 123,555,290.32
  5. Step 5: Solve for x
    x = 123,555,290.32/12,309.50
  6. Step 6: Final answer
    x = 10,037.39

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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.