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Finding the Fourth Proportional to 16,964.36, 23,409.36 and 9,891.44

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Solution

The fourth proportional to 16,964.36, 23,409.36 and 9,891.44 is: 13,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.36 : 23,409.36 = 9,891.44 : x
  2. Step 2: Convert to fraction form
    16,964.36/23,409.36 = 9,891.44/x
  3. Step 3: Cross multiply
    16,964.36x = 23,409.36 × 9,891.44
  4. Step 4: Simplify right side
    16,964.36x = 231,552,279.88
  5. Step 5: Solve for x
    x = 231,552,279.88/16,964.36
  6. Step 6: Final answer
    x = 13,649.34

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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.