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Finding the Fourth Proportional to 12,578.30, 17,359.56 and 7,202.73

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Solution

The fourth proportional to 12,578.30, 17,359.56 and 7,202.73 is: 9,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.30 : 17,359.56 = 7,202.73 : x
  2. Step 2: Convert to fraction form
    12,578.30/17,359.56 = 7,202.73/x
  3. Step 3: Cross multiply
    12,578.30x = 17,359.56 × 7,202.73
  4. Step 4: Simplify right side
    12,578.30x = 125,036,223.60
  5. Step 5: Solve for x
    x = 125,036,223.60/12,578.30
  6. Step 6: Final answer
    x = 9,940.63

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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.