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Finding the Fourth Proportional to 17,141.28, 25,715.14 and 7,781.96

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Solution

The fourth proportional to 17,141.28, 25,715.14 and 7,781.96 is: 11,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141.28 : 25,715.14 = 7,781.96 : x
  2. Step 2: Convert to fraction form
    17,141.28/25,715.14 = 7,781.96/x
  3. Step 3: Cross multiply
    17,141.28x = 25,715.14 × 7,781.96
  4. Step 4: Simplify right side
    17,141.28x = 200,114,190.87
  5. Step 5: Solve for x
    x = 200,114,190.87/17,141.28
  6. Step 6: Final answer
    x = 11,674.40

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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.