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Finding the Fourth Proportional to 23,344, 35,016.31 and 7,761.63

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Solution

The fourth proportional to 23,344, 35,016.31 and 7,761.63 is: 11,642.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,344 : 35,016.31 = 7,761.63 : x
  2. Step 2: Convert to fraction form
    23,344/35,016.31 = 7,761.63/x
  3. Step 3: Cross multiply
    23,344x = 35,016.31 × 7,761.63
  4. Step 4: Simplify right side
    23,344x = 271,783,428.30
  5. Step 5: Solve for x
    x = 271,783,428.30/23,344
  6. Step 6: Final answer
    x = 11,642.54

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Why These Related Problems?

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