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Finding the Fourth Proportional to 12,589.96, 17,372.46 and 7,282.84

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Solution

The fourth proportional to 12,589.96, 17,372.46 and 7,282.84 is: 10,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.96 : 17,372.46 = 7,282.84 : x
  2. Step 2: Convert to fraction form
    12,589.96/17,372.46 = 7,282.84/x
  3. Step 3: Cross multiply
    12,589.96x = 17,372.46 × 7,282.84
  4. Step 4: Simplify right side
    12,589.96x = 126,520,846.59
  5. Step 5: Solve for x
    x = 126,520,846.59/12,589.96
  6. Step 6: Final answer
    x = 10,049.34

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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.