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Finding the Fourth Proportional to 13,509.44, 20,270.88 and 7,582.64

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Solution

The fourth proportional to 13,509.44, 20,270.88 and 7,582.64 is: 11,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.44 : 20,270.88 = 7,582.64 : x
  2. Step 2: Convert to fraction form
    13,509.44/20,270.88 = 7,582.64/x
  3. Step 3: Cross multiply
    13,509.44x = 20,270.88 × 7,582.64
  4. Step 4: Simplify right side
    13,509.44x = 153,706,785.52
  5. Step 5: Solve for x
    x = 153,706,785.52/13,509.44
  6. Step 6: Final answer
    x = 11,377.73

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