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Finding the Fourth Proportional to 12,670.70, 17,481.30 and 8,200.12

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Solution

The fourth proportional to 12,670.70, 17,481.30 and 8,200.12 is: 11,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.70 : 17,481.30 = 8,200.12 : x
  2. Step 2: Convert to fraction form
    12,670.70/17,481.30 = 8,200.12/x
  3. Step 3: Cross multiply
    12,670.70x = 17,481.30 × 8,200.12
  4. Step 4: Simplify right side
    12,670.70x = 143,348,757.76
  5. Step 5: Solve for x
    x = 143,348,757.76/12,670.70
  6. Step 6: Final answer
    x = 11,313.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.