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Finding the Fourth Proportional to 12,490.38, 17,236.89 and 6,825.24

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Solution

The fourth proportional to 12,490.38, 17,236.89 and 6,825.24 is: 9,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,490.38 : 17,236.89 = 6,825.24 : x
  2. Step 2: Convert to fraction form
    12,490.38/17,236.89 = 6,825.24/x
  3. Step 3: Cross multiply
    12,490.38x = 17,236.89 × 6,825.24
  4. Step 4: Simplify right side
    12,490.38x = 117,645,911.10
  5. Step 5: Solve for x
    x = 117,645,911.10/12,490.38
  6. Step 6: Final answer
    x = 9,418.92

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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.