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Finding the Fourth Proportional to 12,490.96, 17,236.79 and 6,825.75

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Solution

The fourth proportional to 12,490.96, 17,236.79 and 6,825.75 is: 9,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490.96 : 17,236.79 = 6,825.75 : x
  2. Step 2: Convert to fraction form
    12,490.96/17,236.79 = 6,825.75/x
  3. Step 3: Cross multiply
    12,490.96x = 17,236.79 × 6,825.75
  4. Step 4: Simplify right side
    12,490.96x = 117,654,067.64
  5. Step 5: Solve for x
    x = 117,654,067.64/12,490.96
  6. Step 6: Final answer
    x = 9,419.14

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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.