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Finding the Fourth Proportional to 13,838.16, 19,096.80 and 7,550.64

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Solution

The fourth proportional to 13,838.16, 19,096.80 and 7,550.64 is: 10,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.16 : 19,096.80 = 7,550.64 : x
  2. Step 2: Convert to fraction form
    13,838.16/19,096.80 = 7,550.64/x
  3. Step 3: Cross multiply
    13,838.16x = 19,096.80 × 7,550.64
  4. Step 4: Simplify right side
    13,838.16x = 144,193,061.95
  5. Step 5: Solve for x
    x = 144,193,061.95/13,838.16
  6. Step 6: Final answer
    x = 10,419.96

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