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Finding the Fourth Proportional to 20,892.68, 31,366.82 and 12,133.88

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Solution

The fourth proportional to 20,892.68, 31,366.82 and 12,133.88 is: 18,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.68 : 31,366.82 = 12,133.88 : x
  2. Step 2: Convert to fraction form
    20,892.68/31,366.82 = 12,133.88/x
  3. Step 3: Cross multiply
    20,892.68x = 31,366.82 × 12,133.88
  4. Step 4: Simplify right side
    20,892.68x = 380,601,103.36
  5. Step 5: Solve for x
    x = 380,601,103.36/20,892.68
  6. Step 6: Final answer
    x = 18,216.96

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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.