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Finding the Fourth Proportional to 21,753.34, 32,629.32 and 6,170.96

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Solution

The fourth proportional to 21,753.34, 32,629.32 and 6,170.96 is: 9,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,753.34 : 32,629.32 = 6,170.96 : x
  2. Step 2: Convert to fraction form
    21,753.34/32,629.32 = 6,170.96/x
  3. Step 3: Cross multiply
    21,753.34x = 32,629.32 × 6,170.96
  4. Step 4: Simplify right side
    21,753.34x = 201,354,310.12
  5. Step 5: Solve for x
    x = 201,354,310.12/21,753.34
  6. Step 6: Final answer
    x = 9,256.25

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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.