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Finding the Fourth Proportional to 17,082.50, 23,573.85 and 9,630.50

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Solution

The fourth proportional to 17,082.50, 23,573.85 and 9,630.50 is: 13,290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.50 : 23,573.85 = 9,630.50 : x
  2. Step 2: Convert to fraction form
    17,082.50/23,573.85 = 9,630.50/x
  3. Step 3: Cross multiply
    17,082.50x = 23,573.85 × 9,630.50
  4. Step 4: Simplify right side
    17,082.50x = 227,027,962.43
  5. Step 5: Solve for x
    x = 227,027,962.43/17,082.50
  6. Step 6: Final answer
    x = 13,290.09

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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.