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Finding the Fourth Proportional to 12,940.25, 17,857.95 and 7,639.61

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Solution

The fourth proportional to 12,940.25, 17,857.95 and 7,639.61 is: 10,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.25 : 17,857.95 = 7,639.61 : x
  2. Step 2: Convert to fraction form
    12,940.25/17,857.95 = 7,639.61/x
  3. Step 3: Cross multiply
    12,940.25x = 17,857.95 × 7,639.61
  4. Step 4: Simplify right side
    12,940.25x = 136,427,773.40
  5. Step 5: Solve for x
    x = 136,427,773.40/12,940.25
  6. Step 6: Final answer
    x = 10,542.90

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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.