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Finding the Fourth Proportional to 17,577.30, 24,238.26 and 11,601.12

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Solution

The fourth proportional to 17,577.30, 24,238.26 and 11,601.12 is: 15,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.30 : 24,238.26 = 11,601.12 : x
  2. Step 2: Convert to fraction form
    17,577.30/24,238.26 = 11,601.12/x
  3. Step 3: Cross multiply
    17,577.30x = 24,238.26 × 11,601.12
  4. Step 4: Simplify right side
    17,577.30x = 281,190,962.85
  5. Step 5: Solve for x
    x = 281,190,962.85/17,577.30
  6. Step 6: Final answer
    x = 15,997.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.