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Finding the Fourth Proportional to 20,506.84, 30,764.48 and 7,855.72

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Solution

The fourth proportional to 20,506.84, 30,764.48 and 7,855.72 is: 11,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.84 : 30,764.48 = 7,855.72 : x
  2. Step 2: Convert to fraction form
    20,506.84/30,764.48 = 7,855.72/x
  3. Step 3: Cross multiply
    20,506.84x = 30,764.48 × 7,855.72
  4. Step 4: Simplify right side
    20,506.84x = 241,677,024.64
  5. Step 5: Solve for x
    x = 241,677,024.64/20,506.84
  6. Step 6: Final answer
    x = 11,785.19

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