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Finding the Fourth Proportional to 17,289.16, 23,861.32 and 9,736.97

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Solution

The fourth proportional to 17,289.16, 23,861.32 and 9,736.97 is: 13,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,289.16 : 23,861.32 = 9,736.97 : x
  2. Step 2: Convert to fraction form
    17,289.16/23,861.32 = 9,736.97/x
  3. Step 3: Cross multiply
    17,289.16x = 23,861.32 × 9,736.97
  4. Step 4: Simplify right side
    17,289.16x = 232,336,813.35
  5. Step 5: Solve for x
    x = 232,336,813.35/17,289.16
  6. Step 6: Final answer
    x = 13,438.30

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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.