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Finding the Fourth Proportional to 13,723.80, 20,585.70 and 7,875.60

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Solution

The fourth proportional to 13,723.80, 20,585.70 and 7,875.60 is: 11,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.80 : 20,585.70 = 7,875.60 : x
  2. Step 2: Convert to fraction form
    13,723.80/20,585.70 = 7,875.60/x
  3. Step 3: Cross multiply
    13,723.80x = 20,585.70 × 7,875.60
  4. Step 4: Simplify right side
    13,723.80x = 162,124,738.92
  5. Step 5: Solve for x
    x = 162,124,738.92/13,723.80
  6. Step 6: Final answer
    x = 11,813.40

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