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Finding the Fourth Proportional to 12,196.84, 18,296.34 and 3,431.83

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Solution

The fourth proportional to 12,196.84, 18,296.34 and 3,431.83 is: 5,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.84 : 18,296.34 = 3,431.83 : x
  2. Step 2: Convert to fraction form
    12,196.84/18,296.34 = 3,431.83/x
  3. Step 3: Cross multiply
    12,196.84x = 18,296.34 × 3,431.83
  4. Step 4: Simplify right side
    12,196.84x = 62,789,928.50
  5. Step 5: Solve for x
    x = 62,789,928.50/12,196.84
  6. Step 6: Final answer
    x = 5,148.05

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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.