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Finding the Fourth Proportional to 16,967, 23,419.73 and 11,378

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Solution

The fourth proportional to 16,967, 23,419.73 and 11,378 is: 15,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967 : 23,419.73 = 11,378 : x
  2. Step 2: Convert to fraction form
    16,967/23,419.73 = 11,378/x
  3. Step 3: Cross multiply
    16,967x = 23,419.73 × 11,378
  4. Step 4: Simplify right side
    16,967x = 266,469,687.94
  5. Step 5: Solve for x
    x = 266,469,687.94/16,967
  6. Step 6: Final answer
    x = 15,705.17

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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.