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Finding the Fourth Proportional to 17,266.92, 25,893.90 and 5,577

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Solution

The fourth proportional to 17,266.92, 25,893.90 and 5,577 is: 8,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.92 : 25,893.90 = 5,577 : x
  2. Step 2: Convert to fraction form
    17,266.92/25,893.90 = 5,577/x
  3. Step 3: Cross multiply
    17,266.92x = 25,893.90 × 5,577
  4. Step 4: Simplify right side
    17,266.92x = 144,410,280.30
  5. Step 5: Solve for x
    x = 144,410,280.30/17,266.92
  6. Step 6: Final answer
    x = 8,363.41

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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.