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Finding the Fourth Proportional to 12,231.98, 16,882.76 and 7,453.48

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Solution

The fourth proportional to 12,231.98, 16,882.76 and 7,453.48 is: 10,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.98 : 16,882.76 = 7,453.48 : x
  2. Step 2: Convert to fraction form
    12,231.98/16,882.76 = 7,453.48/x
  3. Step 3: Cross multiply
    12,231.98x = 16,882.76 × 7,453.48
  4. Step 4: Simplify right side
    12,231.98x = 125,835,192.32
  5. Step 5: Solve for x
    x = 125,835,192.32/12,231.98
  6. Step 6: Final answer
    x = 10,287.39

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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.