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Finding the Fourth Proportional to 16,858.50, 25,287.75 and 4,546.50

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Solution

The fourth proportional to 16,858.50, 25,287.75 and 4,546.50 is: 6,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.50 : 25,287.75 = 4,546.50 : x
  2. Step 2: Convert to fraction form
    16,858.50/25,287.75 = 4,546.50/x
  3. Step 3: Cross multiply
    16,858.50x = 25,287.75 × 4,546.50
  4. Step 4: Simplify right side
    16,858.50x = 114,970,755.38
  5. Step 5: Solve for x
    x = 114,970,755.38/16,858.50
  6. Step 6: Final answer
    x = 6,819.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.