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Finding the Fourth Proportional to 17,789.94, 24,548.82 and 9,832.32

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Solution

The fourth proportional to 17,789.94, 24,548.82 and 9,832.32 is: 13,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,789.94 : 24,548.82 = 9,832.32 : x
  2. Step 2: Convert to fraction form
    17,789.94/24,548.82 = 9,832.32/x
  3. Step 3: Cross multiply
    17,789.94x = 24,548.82 × 9,832.32
  4. Step 4: Simplify right side
    17,789.94x = 241,371,853.86
  5. Step 5: Solve for x
    x = 241,371,853.86/17,789.94
  6. Step 6: Final answer
    x = 13,567.88

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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.