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Finding the Fourth Proportional to 12,171.24, 16,796.82 and 7,693.38

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Solution

The fourth proportional to 12,171.24, 16,796.82 and 7,693.38 is: 10,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.24 : 16,796.82 = 7,693.38 : x
  2. Step 2: Convert to fraction form
    12,171.24/16,796.82 = 7,693.38/x
  3. Step 3: Cross multiply
    12,171.24x = 16,796.82 × 7,693.38
  4. Step 4: Simplify right side
    12,171.24x = 129,224,319.05
  5. Step 5: Solve for x
    x = 129,224,319.05/12,171.24
  6. Step 6: Final answer
    x = 10,617.19

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Why These Related Problems?

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