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Finding the Fourth Proportional to 20,978.48, 31,473.14 and 7,830.96

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Solution

The fourth proportional to 20,978.48, 31,473.14 and 7,830.96 is: 11,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.48 : 31,473.14 = 7,830.96 : x
  2. Step 2: Convert to fraction form
    20,978.48/31,473.14 = 7,830.96/x
  3. Step 3: Cross multiply
    20,978.48x = 31,473.14 × 7,830.96
  4. Step 4: Simplify right side
    20,978.48x = 246,464,861.26
  5. Step 5: Solve for x
    x = 246,464,861.26/20,978.48
  6. Step 6: Final answer
    x = 11,748.46

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