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Finding the Fourth Proportional to 31,827.60, 47,746.80 and 9,640.80

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Solution

The fourth proportional to 31,827.60, 47,746.80 and 9,640.80 is: 14,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,827.60 : 47,746.80 = 9,640.80 : x
  2. Step 2: Convert to fraction form
    31,827.60/47,746.80 = 9,640.80/x
  3. Step 3: Cross multiply
    31,827.60x = 47,746.80 × 9,640.80
  4. Step 4: Simplify right side
    31,827.60x = 460,317,349.44
  5. Step 5: Solve for x
    x = 460,317,349.44/31,827.60
  6. Step 6: Final answer
    x = 14,462.84

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