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Finding the Fourth Proportional to 20,875.57, 31,311.96 and 9,784.74

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Solution

The fourth proportional to 20,875.57, 31,311.96 and 9,784.74 is: 14,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,875.57 : 31,311.96 = 9,784.74 : x
  2. Step 2: Convert to fraction form
    20,875.57/31,311.96 = 9,784.74/x
  3. Step 3: Cross multiply
    20,875.57x = 31,311.96 × 9,784.74
  4. Step 4: Simplify right side
    20,875.57x = 306,379,387.49
  5. Step 5: Solve for x
    x = 306,379,387.49/20,875.57
  6. Step 6: Final answer
    x = 14,676.46

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