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Finding the Fourth Proportional to 16,959.40, 23,399.16 and 9,884.48

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Solution

The fourth proportional to 16,959.40, 23,399.16 and 9,884.48 is: 13,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,959.40 : 23,399.16 = 9,884.48 : x
  2. Step 2: Convert to fraction form
    16,959.40/23,399.16 = 9,884.48/x
  3. Step 3: Cross multiply
    16,959.40x = 23,399.16 × 9,884.48
  4. Step 4: Simplify right side
    16,959.40x = 231,288,529.04
  5. Step 5: Solve for x
    x = 231,288,529.04/16,959.40
  6. Step 6: Final answer
    x = 13,637.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.