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Finding the Fourth Proportional to 23,591.48, 35,375 and 6,949.36

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Solution

The fourth proportional to 23,591.48, 35,375 and 6,949.36 is: 10,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,591.48 : 35,375 = 6,949.36 : x
  2. Step 2: Convert to fraction form
    23,591.48/35,375 = 6,949.36/x
  3. Step 3: Cross multiply
    23,591.48x = 35,375 × 6,949.36
  4. Step 4: Simplify right side
    23,591.48x = 245,833,610
  5. Step 5: Solve for x
    x = 245,833,610/23,591.48
  6. Step 6: Final answer
    x = 10,420.44

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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.