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Finding the Fourth Proportional to 13,533.84, 20,300.76 and 5,738.40

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Solution

The fourth proportional to 13,533.84, 20,300.76 and 5,738.40 is: 8,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.84 : 20,300.76 = 5,738.40 : x
  2. Step 2: Convert to fraction form
    13,533.84/20,300.76 = 5,738.40/x
  3. Step 3: Cross multiply
    13,533.84x = 20,300.76 × 5,738.40
  4. Step 4: Simplify right side
    13,533.84x = 116,493,881.18
  5. Step 5: Solve for x
    x = 116,493,881.18/13,533.84
  6. Step 6: Final answer
    x = 8,607.60

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