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Finding the Fourth Proportional to 16,825.96, 23,219.94 and 9,374.44

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Solution

The fourth proportional to 16,825.96, 23,219.94 and 9,374.44 is: 12,936.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.96 : 23,219.94 = 9,374.44 : x
  2. Step 2: Convert to fraction form
    16,825.96/23,219.94 = 9,374.44/x
  3. Step 3: Cross multiply
    16,825.96x = 23,219.94 × 9,374.44
  4. Step 4: Simplify right side
    16,825.96x = 217,673,934.33
  5. Step 5: Solve for x
    x = 217,673,934.33/16,825.96
  6. Step 6: Final answer
    x = 12,936.79

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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.