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Finding the Fourth Proportional to 12,656.20, 18,984.30 and 6,809.80

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Solution

The fourth proportional to 12,656.20, 18,984.30 and 6,809.80 is: 10,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.20 : 18,984.30 = 6,809.80 : x
  2. Step 2: Convert to fraction form
    12,656.20/18,984.30 = 6,809.80/x
  3. Step 3: Cross multiply
    12,656.20x = 18,984.30 × 6,809.80
  4. Step 4: Simplify right side
    12,656.20x = 129,279,286.14
  5. Step 5: Solve for x
    x = 129,279,286.14/12,656.20
  6. Step 6: Final answer
    x = 10,214.70

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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.