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Finding the Fourth Proportional to 12,857.56, 17,744.22 and 7,268.56

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Solution

The fourth proportional to 12,857.56, 17,744.22 and 7,268.56 is: 10,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.56 : 17,744.22 = 7,268.56 : x
  2. Step 2: Convert to fraction form
    12,857.56/17,744.22 = 7,268.56/x
  3. Step 3: Cross multiply
    12,857.56x = 17,744.22 × 7,268.56
  4. Step 4: Simplify right side
    12,857.56x = 128,974,927.72
  5. Step 5: Solve for x
    x = 128,974,927.72/12,857.56
  6. Step 6: Final answer
    x = 10,031.06

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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.