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Finding the Fourth Proportional to 10,770.97, 16,159.34 and 9,742.81

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Solution

The fourth proportional to 10,770.97, 16,159.34 and 9,742.81 is: 14,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.97 : 16,159.34 = 9,742.81 : x
  2. Step 2: Convert to fraction form
    10,770.97/16,159.34 = 9,742.81/x
  3. Step 3: Cross multiply
    10,770.97x = 16,159.34 × 9,742.81
  4. Step 4: Simplify right side
    10,770.97x = 157,437,330.63
  5. Step 5: Solve for x
    x = 157,437,330.63/10,770.97
  6. Step 6: Final answer
    x = 14,616.82

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