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Finding the Fourth Proportional to 16,811.40, 23,194.54 and 9,736.44

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Solution

The fourth proportional to 16,811.40, 23,194.54 and 9,736.44 is: 13,433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.40 : 23,194.54 = 9,736.44 : x
  2. Step 2: Convert to fraction form
    16,811.40/23,194.54 = 9,736.44/x
  3. Step 3: Cross multiply
    16,811.40x = 23,194.54 × 9,736.44
  4. Step 4: Simplify right side
    16,811.40x = 225,832,247.04
  5. Step 5: Solve for x
    x = 225,832,247.04/16,811.40
  6. Step 6: Final answer
    x = 13,433.28

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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.