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Finding the Fourth Proportional to 23,813.72, 32,796.28 and 23,297.20

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Solution

The fourth proportional to 23,813.72, 32,796.28 and 23,297.20 is: 32,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.72 : 32,796.28 = 23,297.20 : x
  2. Step 2: Convert to fraction form
    23,813.72/32,796.28 = 23,297.20/x
  3. Step 3: Cross multiply
    23,813.72x = 32,796.28 × 23,297.20
  4. Step 4: Simplify right side
    23,813.72x = 764,061,494.42
  5. Step 5: Solve for x
    x = 764,061,494.42/23,813.72
  6. Step 6: Final answer
    x = 32,084.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.