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Finding the Fourth Proportional to 23,665.71, 35,497.54 and 5,896.45

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Solution

The fourth proportional to 23,665.71, 35,497.54 and 5,896.45 is: 8,844.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,665.71 : 35,497.54 = 5,896.45 : x
  2. Step 2: Convert to fraction form
    23,665.71/35,497.54 = 5,896.45/x
  3. Step 3: Cross multiply
    23,665.71x = 35,497.54 × 5,896.45
  4. Step 4: Simplify right side
    23,665.71x = 209,309,469.73
  5. Step 5: Solve for x
    x = 209,309,469.73/23,665.71
  6. Step 6: Final answer
    x = 8,844.42

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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.