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Finding the Fourth Proportional to 17,534.55, 24,198.03 and 9,577.47

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Solution

The fourth proportional to 17,534.55, 24,198.03 and 9,577.47 is: 13,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.55 : 24,198.03 = 9,577.47 : x
  2. Step 2: Convert to fraction form
    17,534.55/24,198.03 = 9,577.47/x
  3. Step 3: Cross multiply
    17,534.55x = 24,198.03 × 9,577.47
  4. Step 4: Simplify right side
    17,534.55x = 231,755,906.38
  5. Step 5: Solve for x
    x = 231,755,906.38/17,534.55
  6. Step 6: Final answer
    x = 13,217.10

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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.