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Finding the Fourth Proportional to 23,546.88, 32,493.12 and 12,936

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Solution

The fourth proportional to 23,546.88, 32,493.12 and 12,936 is: 17,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546.88 : 32,493.12 = 12,936 : x
  2. Step 2: Convert to fraction form
    23,546.88/32,493.12 = 12,936/x
  3. Step 3: Cross multiply
    23,546.88x = 32,493.12 × 12,936
  4. Step 4: Simplify right side
    23,546.88x = 420,331,000.32
  5. Step 5: Solve for x
    x = 420,331,000.32/23,546.88
  6. Step 6: Final answer
    x = 17,850.82

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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.