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Finding the Fourth Proportional to 12,996.42, 19,496.25 and 4,228.98

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Solution

The fourth proportional to 12,996.42, 19,496.25 and 4,228.98 is: 6,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.42 : 19,496.25 = 4,228.98 : x
  2. Step 2: Convert to fraction form
    12,996.42/19,496.25 = 4,228.98/x
  3. Step 3: Cross multiply
    12,996.42x = 19,496.25 × 4,228.98
  4. Step 4: Simplify right side
    12,996.42x = 82,449,251.33
  5. Step 5: Solve for x
    x = 82,449,251.33/12,996.42
  6. Step 6: Final answer
    x = 6,344.00

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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.