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Finding the Fourth Proportional to 12,817.69, 17,684.27 and 7,151.51

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Solution

The fourth proportional to 12,817.69, 17,684.27 and 7,151.51 is: 9,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.69 : 17,684.27 = 7,151.51 : x
  2. Step 2: Convert to fraction form
    12,817.69/17,684.27 = 7,151.51/x
  3. Step 3: Cross multiply
    12,817.69x = 17,684.27 × 7,151.51
  4. Step 4: Simplify right side
    12,817.69x = 126,469,242.20
  5. Step 5: Solve for x
    x = 126,469,242.20/12,817.69
  6. Step 6: Final answer
    x = 9,866.78

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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.