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Finding the Fourth Proportional to 23,962.50, 35,949.60 and 7,546.50

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Solution

The fourth proportional to 23,962.50, 35,949.60 and 7,546.50 is: 11,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,962.50 : 35,949.60 = 7,546.50 : x
  2. Step 2: Convert to fraction form
    23,962.50/35,949.60 = 7,546.50/x
  3. Step 3: Cross multiply
    23,962.50x = 35,949.60 × 7,546.50
  4. Step 4: Simplify right side
    23,962.50x = 271,293,656.40
  5. Step 5: Solve for x
    x = 271,293,656.40/23,962.50
  6. Step 6: Final answer
    x = 11,321.59

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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.