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Finding the Fourth Proportional to 16,964.88, 23,409 and 9,696.44

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Solution

The fourth proportional to 16,964.88, 23,409 and 9,696.44 is: 13,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.88 : 23,409 = 9,696.44 : x
  2. Step 2: Convert to fraction form
    16,964.88/23,409 = 9,696.44/x
  3. Step 3: Cross multiply
    16,964.88x = 23,409 × 9,696.44
  4. Step 4: Simplify right side
    16,964.88x = 226,983,963.96
  5. Step 5: Solve for x
    x = 226,983,963.96/16,964.88
  6. Step 6: Final answer
    x = 13,379.64

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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.