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Finding the Fourth Proportional to 12,196.49, 18,282.80 and 5,956.25

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Solution

The fourth proportional to 12,196.49, 18,282.80 and 5,956.25 is: 8,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.49 : 18,282.80 = 5,956.25 : x
  2. Step 2: Convert to fraction form
    12,196.49/18,282.80 = 5,956.25/x
  3. Step 3: Cross multiply
    12,196.49x = 18,282.80 × 5,956.25
  4. Step 4: Simplify right side
    12,196.49x = 108,896,850.98
  5. Step 5: Solve for x
    x = 108,896,850.98/12,196.49
  6. Step 6: Final answer
    x = 8,928.54

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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.