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Finding the Fourth Proportional to 30,338.68, 41,866 and 16,911.40

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Solution

The fourth proportional to 30,338.68, 41,866 and 16,911.40 is: 23,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338.68 : 41,866 = 16,911.40 : x
  2. Step 2: Convert to fraction form
    30,338.68/41,866 = 16,911.40/x
  3. Step 3: Cross multiply
    30,338.68x = 41,866 × 16,911.40
  4. Step 4: Simplify right side
    30,338.68x = 708,012,672.40
  5. Step 5: Solve for x
    x = 708,012,672.40/30,338.68
  6. Step 6: Final answer
    x = 23,336.96

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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.