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Finding the Fourth Proportional to 21,634.75, 29,855.96 and 11,698.75

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Solution

The fourth proportional to 21,634.75, 29,855.96 and 11,698.75 is: 16,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.75 : 29,855.96 = 11,698.75 : x
  2. Step 2: Convert to fraction form
    21,634.75/29,855.96 = 11,698.75/x
  3. Step 3: Cross multiply
    21,634.75x = 29,855.96 × 11,698.75
  4. Step 4: Simplify right side
    21,634.75x = 349,277,412.05
  5. Step 5: Solve for x
    x = 349,277,412.05/21,634.75
  6. Step 6: Final answer
    x = 16,144.28

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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.