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Finding the Fourth Proportional to 12,490.82, 17,236.81 and 6,825.76

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Solution

The fourth proportional to 12,490.82, 17,236.81 and 6,825.76 is: 9,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490.82 : 17,236.81 = 6,825.76 : x
  2. Step 2: Convert to fraction form
    12,490.82/17,236.81 = 6,825.76/x
  3. Step 3: Cross multiply
    12,490.82x = 17,236.81 × 6,825.76
  4. Step 4: Simplify right side
    12,490.82x = 117,654,328.23
  5. Step 5: Solve for x
    x = 117,654,328.23/12,490.82
  6. Step 6: Final answer
    x = 9,419.26

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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.