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Finding the Fourth Proportional to 12,857.98, 17,747.58 and 7,481.46

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Solution

The fourth proportional to 12,857.98, 17,747.58 and 7,481.46 is: 10,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.98 : 17,747.58 = 7,481.46 : x
  2. Step 2: Convert to fraction form
    12,857.98/17,747.58 = 7,481.46/x
  3. Step 3: Cross multiply
    12,857.98x = 17,747.58 × 7,481.46
  4. Step 4: Simplify right side
    12,857.98x = 132,777,771.37
  5. Step 5: Solve for x
    x = 132,777,771.37/12,857.98
  6. Step 6: Final answer
    x = 10,326.49

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