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Finding the Fourth Proportional to 17,534.95, 24,198.09 and 9,577.17

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Solution

The fourth proportional to 17,534.95, 24,198.09 and 9,577.17 is: 13,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.95 : 24,198.09 = 9,577.17 : x
  2. Step 2: Convert to fraction form
    17,534.95/24,198.09 = 9,577.17/x
  3. Step 3: Cross multiply
    17,534.95x = 24,198.09 × 9,577.17
  4. Step 4: Simplify right side
    17,534.95x = 231,749,185.69
  5. Step 5: Solve for x
    x = 231,749,185.69/17,534.95
  6. Step 6: Final answer
    x = 13,216.42

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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.