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Finding the Fourth Proportional to 17,241.84, 25,857.96 and 4,758.96

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Solution

The fourth proportional to 17,241.84, 25,857.96 and 4,758.96 is: 7,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,241.84 : 25,857.96 = 4,758.96 : x
  2. Step 2: Convert to fraction form
    17,241.84/25,857.96 = 4,758.96/x
  3. Step 3: Cross multiply
    17,241.84x = 25,857.96 × 4,758.96
  4. Step 4: Simplify right side
    17,241.84x = 123,056,997.32
  5. Step 5: Solve for x
    x = 123,056,997.32/17,241.84
  6. Step 6: Final answer
    x = 7,137.12

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Why These Related Problems?

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