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Finding the Fourth Proportional to 16,811.64, 23,194.89 and 9,736.70

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Solution

The fourth proportional to 16,811.64, 23,194.89 and 9,736.70 is: 13,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.64 : 23,194.89 = 9,736.70 : x
  2. Step 2: Convert to fraction form
    16,811.64/23,194.89 = 9,736.70/x
  3. Step 3: Cross multiply
    16,811.64x = 23,194.89 × 9,736.70
  4. Step 4: Simplify right side
    16,811.64x = 225,841,569.49
  5. Step 5: Solve for x
    x = 225,841,569.49/16,811.64
  6. Step 6: Final answer
    x = 13,433.64

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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.