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Finding the Fourth Proportional to 17,194.92, 23,727.30 and 9,737.64

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Solution

The fourth proportional to 17,194.92, 23,727.30 and 9,737.64 is: 13,436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,194.92 : 23,727.30 = 9,737.64 : x
  2. Step 2: Convert to fraction form
    17,194.92/23,727.30 = 9,737.64/x
  3. Step 3: Cross multiply
    17,194.92x = 23,727.30 × 9,737.64
  4. Step 4: Simplify right side
    17,194.92x = 231,047,905.57
  5. Step 5: Solve for x
    x = 231,047,905.57/17,194.92
  6. Step 6: Final answer
    x = 13,436.99

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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.