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Finding the Fourth Proportional to 12,940.35, 17,857.27 and 7,275.34

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Solution

The fourth proportional to 12,940.35, 17,857.27 and 7,275.34 is: 10,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.35 : 17,857.27 = 7,275.34 : x
  2. Step 2: Convert to fraction form
    12,940.35/17,857.27 = 7,275.34/x
  3. Step 3: Cross multiply
    12,940.35x = 17,857.27 × 7,275.34
  4. Step 4: Simplify right side
    12,940.35x = 129,917,621.23
  5. Step 5: Solve for x
    x = 129,917,621.23/12,940.35
  6. Step 6: Final answer
    x = 10,039.73

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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.