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Finding the Fourth Proportional to 12,754.37, 17,596.68 and 7,971.05

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Solution

The fourth proportional to 12,754.37, 17,596.68 and 7,971.05 is: 10,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.37 : 17,596.68 = 7,971.05 : x
  2. Step 2: Convert to fraction form
    12,754.37/17,596.68 = 7,971.05/x
  3. Step 3: Cross multiply
    12,754.37x = 17,596.68 × 7,971.05
  4. Step 4: Simplify right side
    12,754.37x = 140,264,016.11
  5. Step 5: Solve for x
    x = 140,264,016.11/12,754.37
  6. Step 6: Final answer
    x = 10,997.33

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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.