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Finding the Fourth Proportional to 23,760.92, 35,640 and 6,230.76

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Solution

The fourth proportional to 23,760.92, 35,640 and 6,230.76 is: 9,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760.92 : 35,640 = 6,230.76 : x
  2. Step 2: Convert to fraction form
    23,760.92/35,640 = 6,230.76/x
  3. Step 3: Cross multiply
    23,760.92x = 35,640 × 6,230.76
  4. Step 4: Simplify right side
    23,760.92x = 222,064,286.40
  5. Step 5: Solve for x
    x = 222,064,286.40/23,760.92
  6. Step 6: Final answer
    x = 9,345.78

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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.