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Finding the Fourth Proportional to 23,608.12, 32,578.84 and 12,997.48

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Solution

The fourth proportional to 23,608.12, 32,578.84 and 12,997.48 is: 17,936.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,608.12 : 32,578.84 = 12,997.48 : x
  2. Step 2: Convert to fraction form
    23,608.12/32,578.84 = 12,997.48/x
  3. Step 3: Cross multiply
    23,608.12x = 32,578.84 × 12,997.48
  4. Step 4: Simplify right side
    23,608.12x = 423,442,821.32
  5. Step 5: Solve for x
    x = 423,442,821.32/23,608.12
  6. Step 6: Final answer
    x = 17,936.32

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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.