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Finding the Fourth Proportional to 17,546.52, 24,215.84 and 9,589.92

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Solution

The fourth proportional to 17,546.52, 24,215.84 and 9,589.92 is: 13,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.52 : 24,215.84 = 9,589.92 : x
  2. Step 2: Convert to fraction form
    17,546.52/24,215.84 = 9,589.92/x
  3. Step 3: Cross multiply
    17,546.52x = 24,215.84 × 9,589.92
  4. Step 4: Simplify right side
    17,546.52x = 232,227,968.33
  5. Step 5: Solve for x
    x = 232,227,968.33/17,546.52
  6. Step 6: Final answer
    x = 13,234.99

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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.