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Finding the Fourth Proportional to 12,563.88, 18,842.40 and 3,796.44

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Solution

The fourth proportional to 12,563.88, 18,842.40 and 3,796.44 is: 5,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.88 : 18,842.40 = 3,796.44 : x
  2. Step 2: Convert to fraction form
    12,563.88/18,842.40 = 3,796.44/x
  3. Step 3: Cross multiply
    12,563.88x = 18,842.40 × 3,796.44
  4. Step 4: Simplify right side
    12,563.88x = 71,534,041.06
  5. Step 5: Solve for x
    x = 71,534,041.06/12,563.88
  6. Step 6: Final answer
    x = 5,693.63

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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.