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Finding the Fourth Proportional to 25,884.64, 38,827.60 and 7,416.80

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Solution

The fourth proportional to 25,884.64, 38,827.60 and 7,416.80 is: 11,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884.64 : 38,827.60 = 7,416.80 : x
  2. Step 2: Convert to fraction form
    25,884.64/38,827.60 = 7,416.80/x
  3. Step 3: Cross multiply
    25,884.64x = 38,827.60 × 7,416.80
  4. Step 4: Simplify right side
    25,884.64x = 287,976,543.68
  5. Step 5: Solve for x
    x = 287,976,543.68/25,884.64
  6. Step 6: Final answer
    x = 11,125.38

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