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Finding the Fourth Proportional to 12,608.48, 18,914.88 and 3,843.20

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Solution

The fourth proportional to 12,608.48, 18,914.88 and 3,843.20 is: 5,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.48 : 18,914.88 = 3,843.20 : x
  2. Step 2: Convert to fraction form
    12,608.48/18,914.88 = 3,843.20/x
  3. Step 3: Cross multiply
    12,608.48x = 18,914.88 × 3,843.20
  4. Step 4: Simplify right side
    12,608.48x = 72,693,666.82
  5. Step 5: Solve for x
    x = 72,693,666.82/12,608.48
  6. Step 6: Final answer
    x = 5,765.46

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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.