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Finding the Fourth Proportional to 17,212.80, 23,758.32 and 10,141.44

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Solution

The fourth proportional to 17,212.80, 23,758.32 and 10,141.44 is: 13,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,212.80 : 23,758.32 = 10,141.44 : x
  2. Step 2: Convert to fraction form
    17,212.80/23,758.32 = 10,141.44/x
  3. Step 3: Cross multiply
    17,212.80x = 23,758.32 × 10,141.44
  4. Step 4: Simplify right side
    17,212.80x = 240,943,576.78
  5. Step 5: Solve for x
    x = 240,943,576.78/17,212.80
  6. Step 6: Final answer
    x = 13,997.93

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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.