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Finding the Fourth Proportional to 23,812.37, 35,715.82 and 6,283.56

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Solution

The fourth proportional to 23,812.37, 35,715.82 and 6,283.56 is: 9,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.37 : 35,715.82 = 6,283.56 : x
  2. Step 2: Convert to fraction form
    23,812.37/35,715.82 = 6,283.56/x
  3. Step 3: Cross multiply
    23,812.37x = 35,715.82 × 6,283.56
  4. Step 4: Simplify right side
    23,812.37x = 224,422,616.14
  5. Step 5: Solve for x
    x = 224,422,616.14/23,812.37
  6. Step 6: Final answer
    x = 9,424.62

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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.