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Finding the Fourth Proportional to 12,325, 17,008.92 and 6,736.36

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Solution

The fourth proportional to 12,325, 17,008.92 and 6,736.36 is: 9,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325 : 17,008.92 = 6,736.36 : x
  2. Step 2: Convert to fraction form
    12,325/17,008.92 = 6,736.36/x
  3. Step 3: Cross multiply
    12,325x = 17,008.92 × 6,736.36
  4. Step 4: Simplify right side
    12,325x = 114,578,208.33
  5. Step 5: Solve for x
    x = 114,578,208.33/12,325
  6. Step 6: Final answer
    x = 9,296.41

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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.