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Finding the Fourth Proportional to 10,584.80, 15,877.20 and 10,431.20

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Solution

The fourth proportional to 10,584.80, 15,877.20 and 10,431.20 is: 15,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584.80 : 15,877.20 = 10,431.20 : x
  2. Step 2: Convert to fraction form
    10,584.80/15,877.20 = 10,431.20/x
  3. Step 3: Cross multiply
    10,584.80x = 15,877.20 × 10,431.20
  4. Step 4: Simplify right side
    10,584.80x = 165,618,248.64
  5. Step 5: Solve for x
    x = 165,618,248.64/10,584.80
  6. Step 6: Final answer
    x = 15,646.80

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