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Finding the Fourth Proportional to 17,534.49, 24,198.57 and 9,577.44

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Solution

The fourth proportional to 17,534.49, 24,198.57 and 9,577.44 is: 13,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.49 : 24,198.57 = 9,577.44 : x
  2. Step 2: Convert to fraction form
    17,534.49/24,198.57 = 9,577.44/x
  3. Step 3: Cross multiply
    17,534.49x = 24,198.57 × 9,577.44
  4. Step 4: Simplify right side
    17,534.49x = 231,760,352.26
  5. Step 5: Solve for x
    x = 231,760,352.26/17,534.49
  6. Step 6: Final answer
    x = 13,217.40

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