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Finding the Fourth Proportional to 15,634.64, 23,457.36 and 9,784.28

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Solution

The fourth proportional to 15,634.64, 23,457.36 and 9,784.28 is: 14,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634.64 : 23,457.36 = 9,784.28 : x
  2. Step 2: Convert to fraction form
    15,634.64/23,457.36 = 9,784.28/x
  3. Step 3: Cross multiply
    15,634.64x = 23,457.36 × 9,784.28
  4. Step 4: Simplify right side
    15,634.64x = 229,513,378.30
  5. Step 5: Solve for x
    x = 229,513,378.30/15,634.64
  6. Step 6: Final answer
    x = 14,679.80

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