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Finding the Fourth Proportional to 30,338.19, 41,865.54 and 16,908.80

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Solution

The fourth proportional to 30,338.19, 41,865.54 and 16,908.80 is: 23,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338.19 : 41,865.54 = 16,908.80 : x
  2. Step 2: Convert to fraction form
    30,338.19/41,865.54 = 16,908.80/x
  3. Step 3: Cross multiply
    30,338.19x = 41,865.54 × 16,908.80
  4. Step 4: Simplify right side
    30,338.19x = 707,895,770.02
  5. Step 5: Solve for x
    x = 707,895,770.02/30,338.19
  6. Step 6: Final answer
    x = 23,333.49

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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.