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Finding the Fourth Proportional to 23,546.54, 32,469.78 and 16,384.57

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Solution

The fourth proportional to 23,546.54, 32,469.78 and 16,384.57 is: 22,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546.54 : 32,469.78 = 16,384.57 : x
  2. Step 2: Convert to fraction form
    23,546.54/32,469.78 = 16,384.57/x
  3. Step 3: Cross multiply
    23,546.54x = 32,469.78 × 16,384.57
  4. Step 4: Simplify right side
    23,546.54x = 532,003,302.12
  5. Step 5: Solve for x
    x = 532,003,302.12/23,546.54
  6. Step 6: Final answer
    x = 22,593.69

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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.