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Finding the Fourth Proportional to 12,996.64, 19,496.99 and 4,229.50

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Solution

The fourth proportional to 12,996.64, 19,496.99 and 4,229.50 is: 6,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.64 : 19,496.99 = 4,229.50 : x
  2. Step 2: Convert to fraction form
    12,996.64/19,496.99 = 4,229.50/x
  3. Step 3: Cross multiply
    12,996.64x = 19,496.99 × 4,229.50
  4. Step 4: Simplify right side
    12,996.64x = 82,462,519.21
  5. Step 5: Solve for x
    x = 82,462,519.21/12,996.64
  6. Step 6: Final answer
    x = 6,344.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.