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Finding the Fourth Proportional to 17,789.44, 24,549.14 and 9,832

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Solution

The fourth proportional to 17,789.44, 24,549.14 and 9,832 is: 13,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,789.44 : 24,549.14 = 9,832 : x
  2. Step 2: Convert to fraction form
    17,789.44/24,549.14 = 9,832/x
  3. Step 3: Cross multiply
    17,789.44x = 24,549.14 × 9,832
  4. Step 4: Simplify right side
    17,789.44x = 241,367,144.48
  5. Step 5: Solve for x
    x = 241,367,144.48/17,789.44
  6. Step 6: Final answer
    x = 13,568.00

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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.