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Finding the Fourth Proportional to 13,688.84, 20,533.32 and 3,828.15

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Solution

The fourth proportional to 13,688.84, 20,533.32 and 3,828.15 is: 5,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.84 : 20,533.32 = 3,828.15 : x
  2. Step 2: Convert to fraction form
    13,688.84/20,533.32 = 3,828.15/x
  3. Step 3: Cross multiply
    13,688.84x = 20,533.32 × 3,828.15
  4. Step 4: Simplify right side
    13,688.84x = 78,604,628.96
  5. Step 5: Solve for x
    x = 78,604,628.96/13,688.84
  6. Step 6: Final answer
    x = 5,742.24

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