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Finding the Fourth Proportional to 12,414.32, 17,131.75 and 6,825.32

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Solution

The fourth proportional to 12,414.32, 17,131.75 and 6,825.32 is: 9,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.32 : 17,131.75 = 6,825.32 : x
  2. Step 2: Convert to fraction form
    12,414.32/17,131.75 = 6,825.32/x
  3. Step 3: Cross multiply
    12,414.32x = 17,131.75 × 6,825.32
  4. Step 4: Simplify right side
    12,414.32x = 116,929,590.25
  5. Step 5: Solve for x
    x = 116,929,590.25/12,414.32
  6. Step 6: Final answer
    x = 9,418.93

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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.