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Finding the Fourth Proportional to 13,821.84, 20,713.92 and 10,106.64

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Solution

The fourth proportional to 13,821.84, 20,713.92 and 10,106.64 is: 15,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.84 : 20,713.92 = 10,106.64 : x
  2. Step 2: Convert to fraction form
    13,821.84/20,713.92 = 10,106.64/x
  3. Step 3: Cross multiply
    13,821.84x = 20,713.92 × 10,106.64
  4. Step 4: Simplify right side
    13,821.84x = 209,348,132.43
  5. Step 5: Solve for x
    x = 209,348,132.43/13,821.84
  6. Step 6: Final answer
    x = 15,146.18

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