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Finding the Fourth Proportional to 17,534.70, 24,198.27 and 9,577.26

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Solution

The fourth proportional to 17,534.70, 24,198.27 and 9,577.26 is: 13,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.70 : 24,198.27 = 9,577.26 : x
  2. Step 2: Convert to fraction form
    17,534.70/24,198.27 = 9,577.26/x
  3. Step 3: Cross multiply
    17,534.70x = 24,198.27 × 9,577.26
  4. Step 4: Simplify right side
    17,534.70x = 231,753,123.34
  5. Step 5: Solve for x
    x = 231,753,123.34/17,534.70
  6. Step 6: Final answer
    x = 13,216.83

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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.