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Finding the Fourth Proportional to 20,996.91, 31,495.68 and 5,202

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Solution

The fourth proportional to 20,996.91, 31,495.68 and 5,202 is: 7,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996.91 : 31,495.68 = 5,202 : x
  2. Step 2: Convert to fraction form
    20,996.91/31,495.68 = 5,202/x
  3. Step 3: Cross multiply
    20,996.91x = 31,495.68 × 5,202
  4. Step 4: Simplify right side
    20,996.91x = 163,840,527.36
  5. Step 5: Solve for x
    x = 163,840,527.36/20,996.91
  6. Step 6: Final answer
    x = 7,803.08

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