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Finding the Fourth Proportional to 12,450.33, 17,180.64 and 7,414.92

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Solution

The fourth proportional to 12,450.33, 17,180.64 and 7,414.92 is: 10,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,450.33 : 17,180.64 = 7,414.92 : x
  2. Step 2: Convert to fraction form
    12,450.33/17,180.64 = 7,414.92/x
  3. Step 3: Cross multiply
    12,450.33x = 17,180.64 × 7,414.92
  4. Step 4: Simplify right side
    12,450.33x = 127,393,071.15
  5. Step 5: Solve for x
    x = 127,393,071.15/12,450.33
  6. Step 6: Final answer
    x = 10,232.10

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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.