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Finding the Fourth Proportional to 20,857.41, 31,290.98 and 6,818.09

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Solution

The fourth proportional to 20,857.41, 31,290.98 and 6,818.09 is: 10,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.41 : 31,290.98 = 6,818.09 : x
  2. Step 2: Convert to fraction form
    20,857.41/31,290.98 = 6,818.09/x
  3. Step 3: Cross multiply
    20,857.41x = 31,290.98 × 6,818.09
  4. Step 4: Simplify right side
    20,857.41x = 213,344,527.28
  5. Step 5: Solve for x
    x = 213,344,527.28/20,857.41
  6. Step 6: Final answer
    x = 10,228.72

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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.