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Finding the Fourth Proportional to 17,146.96, 25,724.28 and 7,286.56

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Solution

The fourth proportional to 17,146.96, 25,724.28 and 7,286.56 is: 10,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146.96 : 25,724.28 = 7,286.56 : x
  2. Step 2: Convert to fraction form
    17,146.96/25,724.28 = 7,286.56/x
  3. Step 3: Cross multiply
    17,146.96x = 25,724.28 × 7,286.56
  4. Step 4: Simplify right side
    17,146.96x = 187,441,509.68
  5. Step 5: Solve for x
    x = 187,441,509.68/17,146.96
  6. Step 6: Final answer
    x = 10,931.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.