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Finding the Fourth Proportional to 17,830.82, 24,604.20 and 10,277.43

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Solution

The fourth proportional to 17,830.82, 24,604.20 and 10,277.43 is: 14,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.82 : 24,604.20 = 10,277.43 : x
  2. Step 2: Convert to fraction form
    17,830.82/24,604.20 = 10,277.43/x
  3. Step 3: Cross multiply
    17,830.82x = 24,604.20 × 10,277.43
  4. Step 4: Simplify right side
    17,830.82x = 252,867,943.21
  5. Step 5: Solve for x
    x = 252,867,943.21/17,830.82
  6. Step 6: Final answer
    x = 14,181.51

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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.