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Finding the Fourth Proportional to 17,628.85, 24,328.89 and 11,650.14

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Solution

The fourth proportional to 17,628.85, 24,328.89 and 11,650.14 is: 16,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,628.85 : 24,328.89 = 11,650.14 : x
  2. Step 2: Convert to fraction form
    17,628.85/24,328.89 = 11,650.14/x
  3. Step 3: Cross multiply
    17,628.85x = 24,328.89 × 11,650.14
  4. Step 4: Simplify right side
    17,628.85x = 283,434,974.54
  5. Step 5: Solve for x
    x = 283,434,974.54/17,628.85
  6. Step 6: Final answer
    x = 16,077.90

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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.