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Finding the Fourth Proportional to 16,064.40, 24,096.78 and 7,742.64

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Solution

The fourth proportional to 16,064.40, 24,096.78 and 7,742.64 is: 11,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.40 : 24,096.78 = 7,742.64 : x
  2. Step 2: Convert to fraction form
    16,064.40/24,096.78 = 7,742.64/x
  3. Step 3: Cross multiply
    16,064.40x = 24,096.78 × 7,742.64
  4. Step 4: Simplify right side
    16,064.40x = 186,572,692.70
  5. Step 5: Solve for x
    x = 186,572,692.70/16,064.40
  6. Step 6: Final answer
    x = 11,614.05

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