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Finding the Fourth Proportional to 17,909.82, 24,716.21 and 9,952.83

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Solution

The fourth proportional to 17,909.82, 24,716.21 and 9,952.83 is: 13,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,909.82 : 24,716.21 = 9,952.83 : x
  2. Step 2: Convert to fraction form
    17,909.82/24,716.21 = 9,952.83/x
  3. Step 3: Cross multiply
    17,909.82x = 24,716.21 × 9,952.83
  4. Step 4: Simplify right side
    17,909.82x = 245,996,186.61
  5. Step 5: Solve for x
    x = 245,996,186.61/17,909.82
  6. Step 6: Final answer
    x = 13,735.27

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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.