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Finding the Fourth Proportional to 16,809.44, 23,198.44 and 9,257.24

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Solution

The fourth proportional to 16,809.44, 23,198.44 and 9,257.24 is: 12,775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.44 : 23,198.44 = 9,257.24 : x
  2. Step 2: Convert to fraction form
    16,809.44/23,198.44 = 9,257.24/x
  3. Step 3: Cross multiply
    16,809.44x = 23,198.44 × 9,257.24
  4. Step 4: Simplify right side
    16,809.44x = 214,753,526.71
  5. Step 5: Solve for x
    x = 214,753,526.71/16,809.44
  6. Step 6: Final answer
    x = 12,775.77

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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.