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Finding the Fourth Proportional to 20,974.40, 31,461.76 and 7,656.94

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Solution

The fourth proportional to 20,974.40, 31,461.76 and 7,656.94 is: 11,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974.40 : 31,461.76 = 7,656.94 : x
  2. Step 2: Convert to fraction form
    20,974.40/31,461.76 = 7,656.94/x
  3. Step 3: Cross multiply
    20,974.40x = 31,461.76 × 7,656.94
  4. Step 4: Simplify right side
    20,974.40x = 240,900,808.61
  5. Step 5: Solve for x
    x = 240,900,808.61/20,974.40
  6. Step 6: Final answer
    x = 11,485.47

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