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Finding the Fourth Proportional to 21,757.68, 32,635.71 and 6,175.17

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Solution

The fourth proportional to 21,757.68, 32,635.71 and 6,175.17 is: 9,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,757.68 : 32,635.71 = 6,175.17 : x
  2. Step 2: Convert to fraction form
    21,757.68/32,635.71 = 6,175.17/x
  3. Step 3: Cross multiply
    21,757.68x = 32,635.71 × 6,175.17
  4. Step 4: Simplify right side
    21,757.68x = 201,531,057.32
  5. Step 5: Solve for x
    x = 201,531,057.32/21,757.68
  6. Step 6: Final answer
    x = 9,262.53

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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.