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Finding the Fourth Proportional to 13,705.97, 18,914.08 and 7,737.89

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Solution

The fourth proportional to 13,705.97, 18,914.08 and 7,737.89 is: 10,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.97 : 18,914.08 = 7,737.89 : x
  2. Step 2: Convert to fraction form
    13,705.97/18,914.08 = 7,737.89/x
  3. Step 3: Cross multiply
    13,705.97x = 18,914.08 × 7,737.89
  4. Step 4: Simplify right side
    13,705.97x = 146,354,956.58
  5. Step 5: Solve for x
    x = 146,354,956.58/13,705.97
  6. Step 6: Final answer
    x = 10,678.19

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