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Finding the Fourth Proportional to 12,414.75, 17,132.40 and 6,825.75

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Solution

The fourth proportional to 12,414.75, 17,132.40 and 6,825.75 is: 9,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.75 : 17,132.40 = 6,825.75 : x
  2. Step 2: Convert to fraction form
    12,414.75/17,132.40 = 6,825.75/x
  3. Step 3: Cross multiply
    12,414.75x = 17,132.40 × 6,825.75
  4. Step 4: Simplify right side
    12,414.75x = 116,941,479.30
  5. Step 5: Solve for x
    x = 116,941,479.30/12,414.75
  6. Step 6: Final answer
    x = 9,419.56

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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.