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Finding the Fourth Proportional to 17,327.44, 23,909.16 and 9,874

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Solution

The fourth proportional to 17,327.44, 23,909.16 and 9,874 is: 13,624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,327.44 : 23,909.16 = 9,874 : x
  2. Step 2: Convert to fraction form
    17,327.44/23,909.16 = 9,874/x
  3. Step 3: Cross multiply
    17,327.44x = 23,909.16 × 9,874
  4. Step 4: Simplify right side
    17,327.44x = 236,079,045.84
  5. Step 5: Solve for x
    x = 236,079,045.84/17,327.44
  6. Step 6: Final answer
    x = 13,624.58

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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.