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Finding the Fourth Proportional to 13,057.84, 19,586.76 and 3,823.84

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Solution

The fourth proportional to 13,057.84, 19,586.76 and 3,823.84 is: 5,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.84 : 19,586.76 = 3,823.84 : x
  2. Step 2: Convert to fraction form
    13,057.84/19,586.76 = 3,823.84/x
  3. Step 3: Cross multiply
    13,057.84x = 19,586.76 × 3,823.84
  4. Step 4: Simplify right side
    13,057.84x = 74,896,636.36
  5. Step 5: Solve for x
    x = 74,896,636.36/13,057.84
  6. Step 6: Final answer
    x = 5,735.76

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