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Finding the Fourth Proportional to 20,753.74, 31,129.62 and 9,656.47

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Solution

The fourth proportional to 20,753.74, 31,129.62 and 9,656.47 is: 14,484.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,753.74 : 31,129.62 = 9,656.47 : x
  2. Step 2: Convert to fraction form
    20,753.74/31,129.62 = 9,656.47/x
  3. Step 3: Cross multiply
    20,753.74x = 31,129.62 × 9,656.47
  4. Step 4: Simplify right side
    20,753.74x = 300,602,241.64
  5. Step 5: Solve for x
    x = 300,602,241.64/20,753.74
  6. Step 6: Final answer
    x = 14,484.24

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