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Finding the Fourth Proportional to 21,243.14, 31,846.08 and 8,086.76

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Solution

The fourth proportional to 21,243.14, 31,846.08 and 8,086.76 is: 12,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.14 : 31,846.08 = 8,086.76 : x
  2. Step 2: Convert to fraction form
    21,243.14/31,846.08 = 8,086.76/x
  3. Step 3: Cross multiply
    21,243.14x = 31,846.08 × 8,086.76
  4. Step 4: Simplify right side
    21,243.14x = 257,531,605.90
  5. Step 5: Solve for x
    x = 257,531,605.90/21,243.14
  6. Step 6: Final answer
    x = 12,123.05

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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.