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Finding the Fourth Proportional to 12,657.96, 18,986.94 and 3,892.80

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Solution

The fourth proportional to 12,657.96, 18,986.94 and 3,892.80 is: 5,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.96 : 18,986.94 = 3,892.80 : x
  2. Step 2: Convert to fraction form
    12,657.96/18,986.94 = 3,892.80/x
  3. Step 3: Cross multiply
    12,657.96x = 18,986.94 × 3,892.80
  4. Step 4: Simplify right side
    12,657.96x = 73,912,360.03
  5. Step 5: Solve for x
    x = 73,912,360.03/12,657.96
  6. Step 6: Final answer
    x = 5,839.20

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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.