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Finding the Fourth Proportional to 20,415.76, 30,584.68 and 13,830.64

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Solution

The fourth proportional to 20,415.76, 30,584.68 and 13,830.64 is: 20,719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.76 : 30,584.68 = 13,830.64 : x
  2. Step 2: Convert to fraction form
    20,415.76/30,584.68 = 13,830.64/x
  3. Step 3: Cross multiply
    20,415.76x = 30,584.68 × 13,830.64
  4. Step 4: Simplify right side
    20,415.76x = 423,005,698.60
  5. Step 5: Solve for x
    x = 423,005,698.60/20,415.76
  6. Step 6: Final answer
    x = 20,719.57

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