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Finding the Fourth Proportional to 21,344.96, 32,022.46 and 7,305.14

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Solution

The fourth proportional to 21,344.96, 32,022.46 and 7,305.14 is: 10,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.96 : 32,022.46 = 7,305.14 : x
  2. Step 2: Convert to fraction form
    21,344.96/32,022.46 = 7,305.14/x
  3. Step 3: Cross multiply
    21,344.96x = 32,022.46 × 7,305.14
  4. Step 4: Simplify right side
    21,344.96x = 233,928,553.44
  5. Step 5: Solve for x
    x = 233,928,553.44/21,344.96
  6. Step 6: Final answer
    x = 10,959.43

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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.