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Finding the Fourth Proportional to 21,142.23, 31,714.82 and 8,491.98

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Solution

The fourth proportional to 21,142.23, 31,714.82 and 8,491.98 is: 12,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.23 : 31,714.82 = 8,491.98 : x
  2. Step 2: Convert to fraction form
    21,142.23/31,714.82 = 8,491.98/x
  3. Step 3: Cross multiply
    21,142.23x = 31,714.82 × 8,491.98
  4. Step 4: Simplify right side
    21,142.23x = 269,321,574.68
  5. Step 5: Solve for x
    x = 269,321,574.68/21,142.23
  6. Step 6: Final answer
    x = 12,738.56

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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.