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Finding the Fourth Proportional to 23,682.48, 32,444.52 and 22,796.16

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Solution

The fourth proportional to 23,682.48, 32,444.52 and 22,796.16 is: 31,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.48 : 32,444.52 = 22,796.16 : x
  2. Step 2: Convert to fraction form
    23,682.48/32,444.52 = 22,796.16/x
  3. Step 3: Cross multiply
    23,682.48x = 32,444.52 × 22,796.16
  4. Step 4: Simplify right side
    23,682.48x = 739,610,469.04
  5. Step 5: Solve for x
    x = 739,610,469.04/23,682.48
  6. Step 6: Final answer
    x = 31,230.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.