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Finding the Fourth Proportional to 21,634.75, 29,855.41 and 12,202.57

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Solution

The fourth proportional to 21,634.75, 29,855.41 and 12,202.57 is: 16,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.75 : 29,855.41 = 12,202.57 : x
  2. Step 2: Convert to fraction form
    21,634.75/29,855.41 = 12,202.57/x
  3. Step 3: Cross multiply
    21,634.75x = 29,855.41 × 12,202.57
  4. Step 4: Simplify right side
    21,634.75x = 364,312,730.40
  5. Step 5: Solve for x
    x = 364,312,730.40/21,634.75
  6. Step 6: Final answer
    x = 16,839.24

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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.