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Finding the Fourth Proportional to 16,768.37, 23,138.75 and 10,052.75

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Solution

The fourth proportional to 16,768.37, 23,138.75 and 10,052.75 is: 13,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768.37 : 23,138.75 = 10,052.75 : x
  2. Step 2: Convert to fraction form
    16,768.37/23,138.75 = 10,052.75/x
  3. Step 3: Cross multiply
    16,768.37x = 23,138.75 × 10,052.75
  4. Step 4: Simplify right side
    16,768.37x = 232,608,069.06
  5. Step 5: Solve for x
    x = 232,608,069.06/16,768.37
  6. Step 6: Final answer
    x = 13,871.84

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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.