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Finding the Fourth Proportional to 12,597.96, 18,896.94 and 3,832.68

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Solution

The fourth proportional to 12,597.96, 18,896.94 and 3,832.68 is: 5,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.96 : 18,896.94 = 3,832.68 : x
  2. Step 2: Convert to fraction form
    12,597.96/18,896.94 = 3,832.68/x
  3. Step 3: Cross multiply
    12,597.96x = 18,896.94 × 3,832.68
  4. Step 4: Simplify right side
    12,597.96x = 72,425,924.00
  5. Step 5: Solve for x
    x = 72,425,924.00/12,597.96
  6. Step 6: Final answer
    x = 5,749.02

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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.