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Finding the Fourth Proportional to 23,838.49, 35,753.68 and 6,310.09

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Solution

The fourth proportional to 23,838.49, 35,753.68 and 6,310.09 is: 9,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.49 : 35,753.68 = 6,310.09 : x
  2. Step 2: Convert to fraction form
    23,838.49/35,753.68 = 6,310.09/x
  3. Step 3: Cross multiply
    23,838.49x = 35,753.68 × 6,310.09
  4. Step 4: Simplify right side
    23,838.49x = 225,608,938.63
  5. Step 5: Solve for x
    x = 225,608,938.63/23,838.49
  6. Step 6: Final answer
    x = 9,464.06

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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.