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Finding the Fourth Proportional to 21,198.34, 31,764.39 and 8,043.58

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Solution

The fourth proportional to 21,198.34, 31,764.39 and 8,043.58 is: 12,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.34 : 31,764.39 = 8,043.58 : x
  2. Step 2: Convert to fraction form
    21,198.34/31,764.39 = 8,043.58/x
  3. Step 3: Cross multiply
    21,198.34x = 31,764.39 × 8,043.58
  4. Step 4: Simplify right side
    21,198.34x = 255,499,412.12
  5. Step 5: Solve for x
    x = 255,499,412.12/21,198.34
  6. Step 6: Final answer
    x = 12,052.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.