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Finding the Fourth Proportional to 21,654.45, 32,481.63 and 6,864.53

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Solution

The fourth proportional to 21,654.45, 32,481.63 and 6,864.53 is: 10,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654.45 : 32,481.63 = 6,864.53 : x
  2. Step 2: Convert to fraction form
    21,654.45/32,481.63 = 6,864.53/x
  3. Step 3: Cross multiply
    21,654.45x = 32,481.63 × 6,864.53
  4. Step 4: Simplify right side
    21,654.45x = 222,970,961.18
  5. Step 5: Solve for x
    x = 222,970,961.18/21,654.45
  6. Step 6: Final answer
    x = 10,296.77

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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.