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Finding the Fourth Proportional to 20,841.85, 31,265.34 and 6,798.12

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Solution

The fourth proportional to 20,841.85, 31,265.34 and 6,798.12 is: 10,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.85 : 31,265.34 = 6,798.12 : x
  2. Step 2: Convert to fraction form
    20,841.85/31,265.34 = 6,798.12/x
  3. Step 3: Cross multiply
    20,841.85x = 31,265.34 × 6,798.12
  4. Step 4: Simplify right side
    20,841.85x = 212,545,597.74
  5. Step 5: Solve for x
    x = 212,545,597.74/20,841.85
  6. Step 6: Final answer
    x = 10,198.02

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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.