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Finding the Fourth Proportional to 17,302.64, 23,861.70 and 11,549.97

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Solution

The fourth proportional to 17,302.64, 23,861.70 and 11,549.97 is: 15,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.64 : 23,861.70 = 11,549.97 : x
  2. Step 2: Convert to fraction form
    17,302.64/23,861.70 = 11,549.97/x
  3. Step 3: Cross multiply
    17,302.64x = 23,861.70 × 11,549.97
  4. Step 4: Simplify right side
    17,302.64x = 275,601,919.15
  5. Step 5: Solve for x
    x = 275,601,919.15/17,302.64
  6. Step 6: Final answer
    x = 15,928.32

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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.