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Finding the Fourth Proportional to 13,827.96, 20,735.70 and 5,056.74

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Solution

The fourth proportional to 13,827.96, 20,735.70 and 5,056.74 is: 7,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.96 : 20,735.70 = 5,056.74 : x
  2. Step 2: Convert to fraction form
    13,827.96/20,735.70 = 5,056.74/x
  3. Step 3: Cross multiply
    13,827.96x = 20,735.70 × 5,056.74
  4. Step 4: Simplify right side
    13,827.96x = 104,855,043.62
  5. Step 5: Solve for x
    x = 104,855,043.62/13,827.96
  6. Step 6: Final answer
    x = 7,582.83

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