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Finding the Fourth Proportional to 27,165.63, 40,742.46 and 13,824.45

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Solution

The fourth proportional to 27,165.63, 40,742.46 and 13,824.45 is: 20,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,165.63 : 40,742.46 = 13,824.45 : x
  2. Step 2: Convert to fraction form
    27,165.63/40,742.46 = 13,824.45/x
  3. Step 3: Cross multiply
    27,165.63x = 40,742.46 × 13,824.45
  4. Step 4: Simplify right side
    27,165.63x = 563,242,101.15
  5. Step 5: Solve for x
    x = 563,242,101.15/27,165.63
  6. Step 6: Final answer
    x = 20,733.63

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