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Finding the Fourth Proportional to 16,625, 22,942.50 and 9,173

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Solution

The fourth proportional to 16,625, 22,942.50 and 9,173 is: 12,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,625 : 22,942.50 = 9,173 : x
  2. Step 2: Convert to fraction form
    16,625/22,942.50 = 9,173/x
  3. Step 3: Cross multiply
    16,625x = 22,942.50 × 9,173
  4. Step 4: Simplify right side
    16,625x = 210,451,552.50
  5. Step 5: Solve for x
    x = 210,451,552.50/16,625
  6. Step 6: Final answer
    x = 12,658.74

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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.