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Finding the Fourth Proportional to 12,940.57, 17,857.90 and 7,351.57

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Solution

The fourth proportional to 12,940.57, 17,857.90 and 7,351.57 is: 10,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.57 : 17,857.90 = 7,351.57 : x
  2. Step 2: Convert to fraction form
    12,940.57/17,857.90 = 7,351.57/x
  3. Step 3: Cross multiply
    12,940.57x = 17,857.90 × 7,351.57
  4. Step 4: Simplify right side
    12,940.57x = 131,283,601.90
  5. Step 5: Solve for x
    x = 131,283,601.90/12,940.57
  6. Step 6: Final answer
    x = 10,145.12

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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.