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Finding the Fourth Proportional to 17,682.98, 24,396.44 and 10,966.19

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Solution

The fourth proportional to 17,682.98, 24,396.44 and 10,966.19 is: 15,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.98 : 24,396.44 = 10,966.19 : x
  2. Step 2: Convert to fraction form
    17,682.98/24,396.44 = 10,966.19/x
  3. Step 3: Cross multiply
    17,682.98x = 24,396.44 × 10,966.19
  4. Step 4: Simplify right side
    17,682.98x = 267,535,819.55
  5. Step 5: Solve for x
    x = 267,535,819.55/17,682.98
  6. Step 6: Final answer
    x = 15,129.57

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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.