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Finding the Fourth Proportional to 12,797.69, 17,662.19 and 7,496.96

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Solution

The fourth proportional to 12,797.69, 17,662.19 and 7,496.96 is: 10,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.69 : 17,662.19 = 7,496.96 : x
  2. Step 2: Convert to fraction form
    12,797.69/17,662.19 = 7,496.96/x
  3. Step 3: Cross multiply
    12,797.69x = 17,662.19 × 7,496.96
  4. Step 4: Simplify right side
    12,797.69x = 132,412,606.15
  5. Step 5: Solve for x
    x = 132,412,606.15/12,797.69
  6. Step 6: Final answer
    x = 10,346.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.