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Finding the Fourth Proportional to 12,797.69, 17,661.41 and 7,494.21

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Solution

The fourth proportional to 12,797.69, 17,661.41 and 7,494.21 is: 10,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797.69 : 17,661.41 = 7,494.21 : x
  2. Step 2: Convert to fraction form
    12,797.69/17,661.41 = 7,494.21/x
  3. Step 3: Cross multiply
    12,797.69x = 17,661.41 × 7,494.21
  4. Step 4: Simplify right side
    12,797.69x = 132,358,277.97
  5. Step 5: Solve for x
    x = 132,358,277.97/12,797.69
  6. Step 6: Final answer
    x = 10,342.36

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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.