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Finding the Fourth Proportional to 11,832.24, 17,753.63 and 6,284.24

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Solution

The fourth proportional to 11,832.24, 17,753.63 and 6,284.24 is: 9,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.24 : 17,753.63 = 6,284.24 : x
  2. Step 2: Convert to fraction form
    11,832.24/17,753.63 = 6,284.24/x
  3. Step 3: Cross multiply
    11,832.24x = 17,753.63 × 6,284.24
  4. Step 4: Simplify right side
    11,832.24x = 111,567,951.60
  5. Step 5: Solve for x
    x = 111,567,951.60/11,832.24
  6. Step 6: Final answer
    x = 9,429.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.