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Finding the Fourth Proportional to 16,647, 22,974.32 and 9,196.44

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Solution

The fourth proportional to 16,647, 22,974.32 and 9,196.44 is: 12,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647 : 22,974.32 = 9,196.44 : x
  2. Step 2: Convert to fraction form
    16,647/22,974.32 = 9,196.44/x
  3. Step 3: Cross multiply
    16,647x = 22,974.32 × 9,196.44
  4. Step 4: Simplify right side
    16,647x = 211,281,955.42
  5. Step 5: Solve for x
    x = 211,281,955.42/16,647
  6. Step 6: Final answer
    x = 12,691.89

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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.