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Finding the Fourth Proportional to 21,481.68, 32,231.76 and 11,628

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Solution

The fourth proportional to 21,481.68, 32,231.76 and 11,628 is: 17,447.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,481.68 : 32,231.76 = 11,628 : x
  2. Step 2: Convert to fraction form
    21,481.68/32,231.76 = 11,628/x
  3. Step 3: Cross multiply
    21,481.68x = 32,231.76 × 11,628
  4. Step 4: Simplify right side
    21,481.68x = 374,790,905.28
  5. Step 5: Solve for x
    x = 374,790,905.28/21,481.68
  6. Step 6: Final answer
    x = 17,447.00

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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.