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Finding the Fourth Proportional to 15,497.96, 23,257.92 and 6,735.44

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Solution

The fourth proportional to 15,497.96, 23,257.92 and 6,735.44 is: 10,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.96 : 23,257.92 = 6,735.44 : x
  2. Step 2: Convert to fraction form
    15,497.96/23,257.92 = 6,735.44/x
  3. Step 3: Cross multiply
    15,497.96x = 23,257.92 × 6,735.44
  4. Step 4: Simplify right side
    15,497.96x = 156,652,324.68
  5. Step 5: Solve for x
    x = 156,652,324.68/15,497.96
  6. Step 6: Final answer
    x = 10,107.93

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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.