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Finding the Fourth Proportional to 10,685.97, 16,031.85 and 9,657.81

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Solution

The fourth proportional to 10,685.97, 16,031.85 and 9,657.81 is: 14,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.97 : 16,031.85 = 9,657.81 : x
  2. Step 2: Convert to fraction form
    10,685.97/16,031.85 = 9,657.81/x
  3. Step 3: Cross multiply
    10,685.97x = 16,031.85 × 9,657.81
  4. Step 4: Simplify right side
    10,685.97x = 154,832,561.25
  5. Step 5: Solve for x
    x = 154,832,561.25/10,685.97
  6. Step 6: Final answer
    x = 14,489.33

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