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Finding the Fourth Proportional to 17,682.98, 26,524.47 and 7,157.66

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Solution

The fourth proportional to 17,682.98, 26,524.47 and 7,157.66 is: 10,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.98 : 26,524.47 = 7,157.66 : x
  2. Step 2: Convert to fraction form
    17,682.98/26,524.47 = 7,157.66/x
  3. Step 3: Cross multiply
    17,682.98x = 26,524.47 × 7,157.66
  4. Step 4: Simplify right side
    17,682.98x = 189,853,137.94
  5. Step 5: Solve for x
    x = 189,853,137.94/17,682.98
  6. Step 6: Final answer
    x = 10,736.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.