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Finding the Fourth Proportional to 12,996.80, 19,497.83 and 4,229.36

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Solution

The fourth proportional to 12,996.80, 19,497.83 and 4,229.36 is: 6,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.80 : 19,497.83 = 4,229.36 : x
  2. Step 2: Convert to fraction form
    12,996.80/19,497.83 = 4,229.36/x
  3. Step 3: Cross multiply
    12,996.80x = 19,497.83 × 4,229.36
  4. Step 4: Simplify right side
    12,996.80x = 82,463,223.65
  5. Step 5: Solve for x
    x = 82,463,223.65/12,996.80
  6. Step 6: Final answer
    x = 6,344.89

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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.