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Finding the Fourth Proportional to 17,451, 24,082.27 and 9,493.25

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Solution

The fourth proportional to 17,451, 24,082.27 and 9,493.25 is: 13,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,451 : 24,082.27 = 9,493.25 : x
  2. Step 2: Convert to fraction form
    17,451/24,082.27 = 9,493.25/x
  3. Step 3: Cross multiply
    17,451x = 24,082.27 × 9,493.25
  4. Step 4: Simplify right side
    17,451x = 228,618,962.21
  5. Step 5: Solve for x
    x = 228,618,962.21/17,451
  6. Step 6: Final answer
    x = 13,100.62

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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.