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Finding the Fourth Proportional to 12,797.92, 17,661.40 and 7,496.56

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Solution

The fourth proportional to 12,797.92, 17,661.40 and 7,496.56 is: 10,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.92 : 17,661.40 = 7,496.56 : x
  2. Step 2: Convert to fraction form
    12,797.92/17,661.40 = 7,496.56/x
  3. Step 3: Cross multiply
    12,797.92x = 17,661.40 × 7,496.56
  4. Step 4: Simplify right side
    12,797.92x = 132,399,744.78
  5. Step 5: Solve for x
    x = 132,399,744.78/12,797.92
  6. Step 6: Final answer
    x = 10,345.41

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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.