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Finding the Fourth Proportional to 20,815.20, 31,203.84 and 7,658.40

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Solution

The fourth proportional to 20,815.20, 31,203.84 and 7,658.40 is: 11,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,815.20 : 31,203.84 = 7,658.40 : x
  2. Step 2: Convert to fraction form
    20,815.20/31,203.84 = 7,658.40/x
  3. Step 3: Cross multiply
    20,815.20x = 31,203.84 × 7,658.40
  4. Step 4: Simplify right side
    20,815.20x = 238,971,488.26
  5. Step 5: Solve for x
    x = 238,971,488.26/20,815.20
  6. Step 6: Final answer
    x = 11,480.62

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