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Finding the Fourth Proportional to 21,144.98, 29,193.52 and 13,198.88

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Solution

The fourth proportional to 21,144.98, 29,193.52 and 13,198.88 is: 18,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.98 : 29,193.52 = 13,198.88 : x
  2. Step 2: Convert to fraction form
    21,144.98/29,193.52 = 13,198.88/x
  3. Step 3: Cross multiply
    21,144.98x = 29,193.52 × 13,198.88
  4. Step 4: Simplify right side
    21,144.98x = 385,321,767.26
  5. Step 5: Solve for x
    x = 385,321,767.26/21,144.98
  6. Step 6: Final answer
    x = 18,222.85

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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.