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Finding the Fourth Proportional to 13,883.46, 20,823.84 and 7,641.42

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Solution

The fourth proportional to 13,883.46, 20,823.84 and 7,641.42 is: 11,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.46 : 20,823.84 = 7,641.42 : x
  2. Step 2: Convert to fraction form
    13,883.46/20,823.84 = 7,641.42/x
  3. Step 3: Cross multiply
    13,883.46x = 20,823.84 × 7,641.42
  4. Step 4: Simplify right side
    13,883.46x = 159,123,707.45
  5. Step 5: Solve for x
    x = 159,123,707.45/13,883.46
  6. Step 6: Final answer
    x = 11,461.39

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