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Finding the Fourth Proportional to 21,755.10, 32,633.89 and 6,171.50

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Solution

The fourth proportional to 21,755.10, 32,633.89 and 6,171.50 is: 9,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,755.10 : 32,633.89 = 6,171.50 : x
  2. Step 2: Convert to fraction form
    21,755.10/32,633.89 = 6,171.50/x
  3. Step 3: Cross multiply
    21,755.10x = 32,633.89 × 6,171.50
  4. Step 4: Simplify right side
    21,755.10x = 201,400,052.14
  5. Step 5: Solve for x
    x = 201,400,052.14/21,755.10
  6. Step 6: Final answer
    x = 9,257.60

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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.