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Finding the Fourth Proportional to 12,308.25, 16,983.14 and 7,273.29

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Solution

The fourth proportional to 12,308.25, 16,983.14 and 7,273.29 is: 10,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.25 : 16,983.14 = 7,273.29 : x
  2. Step 2: Convert to fraction form
    12,308.25/16,983.14 = 7,273.29/x
  3. Step 3: Cross multiply
    12,308.25x = 16,983.14 × 7,273.29
  4. Step 4: Simplify right side
    12,308.25x = 123,523,302.33
  5. Step 5: Solve for x
    x = 123,523,302.33/12,308.25
  6. Step 6: Final answer
    x = 10,035.81

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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.