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Finding the Fourth Proportional to 21,382.39, 32,060.25 and 8,231.68

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Solution

The fourth proportional to 21,382.39, 32,060.25 and 8,231.68 is: 12,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.39 : 32,060.25 = 8,231.68 : x
  2. Step 2: Convert to fraction form
    21,382.39/32,060.25 = 8,231.68/x
  3. Step 3: Cross multiply
    21,382.39x = 32,060.25 × 8,231.68
  4. Step 4: Simplify right side
    21,382.39x = 263,909,789.66
  5. Step 5: Solve for x
    x = 263,909,789.66/21,382.39
  6. Step 6: Final answer
    x = 12,342.39

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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.