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Finding the Fourth Proportional to 13,841.80, 20,770.26 and 6,449.74

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Solution

The fourth proportional to 13,841.80, 20,770.26 and 6,449.74 is: 9,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.80 : 20,770.26 = 6,449.74 : x
  2. Step 2: Convert to fraction form
    13,841.80/20,770.26 = 6,449.74/x
  3. Step 3: Cross multiply
    13,841.80x = 20,770.26 × 6,449.74
  4. Step 4: Simplify right side
    13,841.80x = 133,962,776.73
  5. Step 5: Solve for x
    x = 133,962,776.73/13,841.80
  6. Step 6: Final answer
    x = 9,678.13

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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.