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Finding the Fourth Proportional to 16,706.92, 23,055.50 and 9,633.28

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Solution

The fourth proportional to 16,706.92, 23,055.50 and 9,633.28 is: 13,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.92 : 23,055.50 = 9,633.28 : x
  2. Step 2: Convert to fraction form
    16,706.92/23,055.50 = 9,633.28/x
  3. Step 3: Cross multiply
    16,706.92x = 23,055.50 × 9,633.28
  4. Step 4: Simplify right side
    16,706.92x = 222,100,087.04
  5. Step 5: Solve for x
    x = 222,100,087.04/16,706.92
  6. Step 6: Final answer
    x = 13,293.90

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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.